What is the Greatest Common Factor of 31684 and 31692?

Greatest common factor (GCF) of 31684 and 31692 is 4.

GCF(31684,31692) = 4

We will now calculate the prime factors of 31684 and 31692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31684 and 31692.

How to find the GCF of 31684 and 31692?

We will first find the prime factorization of 31684 and 31692. After we will calculate the factors of 31684 and 31692 and find the biggest common factor number .

Step-1: Prime Factorization of 31684

Prime factors of 31684 are 2, 89. Prime factorization of 31684 in exponential form is:

31684 = 2² × 89²

Step-2: Prime Factorization of 31692

Prime factors of 31692 are 2, 3, 19, 139. Prime factorization of 31692 in exponential form is:

31692 = 2² × 3¹ × 19¹ × 139¹

Step-3: Factors of 31684

List of positive integer factors of 31684 that divides 31684 without a remainder.

1, 2, 4, 89, 178, 356, 7921, 15842

Step-4: Factors of 31692

List of positive integer factors of 31692 that divides 31684 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 139, 228, 278, 417, 556, 834, 1668, 2641, 5282, 7923, 10564, 15846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31684 and 31692. The biggest common factor number is the GCF number.
So the greatest common factor 31684 and 31692 is 4.

Also check out the Least Common Multiple of 31684 and 31692