What is the Greatest Common Factor of 31712 and 31716?

Greatest common factor (GCF) of 31712 and 31716 is 4.

GCF(31712,31716) = 4

We will now calculate the prime factors of 31712 and 31716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31712 and 31716.

How to find the GCF of 31712 and 31716?

We will first find the prime factorization of 31712 and 31716. After we will calculate the factors of 31712 and 31716 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 31716

Prime factors of 31716 are 2, 3, 881. Prime factorization of 31716 in exponential form is:

31716 = 2² × 3² × 881¹

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 31716

List of positive integer factors of 31716 that divides 31712 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 881, 1762, 2643, 3524, 5286, 7929, 10572, 15858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31712 and 31716. The biggest common factor number is the GCF number.
So the greatest common factor 31712 and 31716 is 4.

Also check out the Least Common Multiple of 31712 and 31716