The first step to this method of finding the Greatest Common Factor of 32 and 72 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above.
Let’s take a look at the factors for each of these numbers, 32 and 72:
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4, 8. Since 8 is the largest of these common factors, the GCF of 32 and 72 would be 8.
FAQs
FAQs on GCF of 32 and 72
What is the GCF of 32 and 72? ›
Since 8 is the largest of these common factors, the GCF of 32 and 72 would be 8.
What is 72 and 36 GCF? ›
The GCF of 72 and 36 is 36. To calculate the greatest common factor (GCF) of 72 and 36, we need to factor each number (factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest factor that exactly divides both 72 and 36, i.e., 36.
What is the GCF of 30 and 72? ›
There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.
What are the GCF factors of 72? ›
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The common factors of both numbers are 1, 2, 3, 4, 6, and 12. Which means that 12 is the greatest common factors.
What is the GCF for 32? ›
You can evenly divide 32 by 1, 2, 4, 8, 16 and 32. Therefore the largest common factor of both numbers is 8.
How to find the GCF? ›
The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What is the GCF of 32 48 and 72? ›
Expert-Verified Answer
Biggest common factor among all three = 8.
What is the GCF for 36? ›
FAQs on GCF of 36 and 100
The GCF of 36 and 100 is 4. To calculate the GCF (Greatest Common Factor) of 36 and 100, we need to factor each number (factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36; factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100) and choose the greatest factor that exactly divides both 36 and 100, i.e., 4.
What is the GCF of 27? ›
The factors of 27 are 1, 3, 9, 27. The common factors of 18 and 27 are 1, 3 and 9. The greatest common factor of 18 and 27 is 9.
Answer: LCM OF 72 AND 32 IS = 288 !
What is the GCF of 72 and 33? ›
Solution: The GCF of 33 and 72 is 3.
What is the GCF 30 70? ›
The GCF of 30 and 70 is 10. To calculate the greatest common factor of 30 and 70, we need to factor each number (factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30; factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70) and choose the greatest factor that exactly divides both 30 and 70, i.e., 10.
What is the GCF of 72 and 35? ›
The GCF of 35 and 72 is 1. To calculate the greatest common factor (GCF) of 35 and 72, we need to factor each number (factors of 35 = 1, 5, 7, 35; factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72) and choose the greatest factor that exactly divides both 35 and 72, i.e., 1.
What are the factors of 32? ›
The factors of 32 are 1, 2, 4, 8, 16 and 32 because all these numbers divide the number 32 evenly.
What goes into 36? ›
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
What is the GCF of 71 and 32? ›
When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 32 and 71 is 1.
What is the GCF for 32 and 76? ›
When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4. Since 4 is the largest of these common factors, the GCF of 76 and 32 would be 4.
