What is the Greatest Common Factor of 31712 and 31732?

Greatest common factor (GCF) of 31712 and 31732 is 4.

GCF(31712,31732) = 4

We will now calculate the prime factors of 31712 and 31732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31712 and 31732.

How to find the GCF of 31712 and 31732?

We will first find the prime factorization of 31712 and 31732. After we will calculate the factors of 31712 and 31732 and find the biggest common factor number .

Step-1: Prime Factorization of 31712

Prime factors of 31712 are 2, 991. Prime factorization of 31712 in exponential form is:

31712 = 2⁵ × 991¹

Step-2: Prime Factorization of 31732

Prime factors of 31732 are 2, 7933. Prime factorization of 31732 in exponential form is:

31732 = 2² × 7933¹

Step-3: Factors of 31712

List of positive integer factors of 31712 that divides 31712 without a remainder.

1, 2, 4, 8, 16, 32, 991, 1982, 3964, 7928, 15856

Step-4: Factors of 31732

List of positive integer factors of 31732 that divides 31712 without a remainder.

1, 2, 4, 7933, 15866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31712 and 31732. The biggest common factor number is the GCF number.
So the greatest common factor 31712 and 31732 is 4.

Also check out the Least Common Multiple of 31712 and 31732