What is the Greatest Common Factor of 31692 and 31696?

Greatest common factor (GCF) of 31692 and 31696 is 4.

GCF(31692,31696) = 4

We will now calculate the prime factors of 31692 and 31696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31692 and 31696.

How to find the GCF of 31692 and 31696?

We will first find the prime factorization of 31692 and 31696. After we will calculate the factors of 31692 and 31696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31696

Prime factors of 31696 are 2, 7, 283. Prime factorization of 31696 in exponential form is:

31696 = 2⁴ × 7¹ × 283¹

Step-3: Factors of 31692

List of positive integer factors of 31692 that divides 31692 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

Step-4: Factors of 31696

List of positive integer factors of 31696 that divides 31692 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 283, 566, 1132, 1981, 2264, 3962, 4528, 7924, 15848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31692 and 31696. The biggest common factor number is the GCF number.
So the greatest common factor 31692 and 31696 is 4.

Also check out the Least Common Multiple of 31692 and 31696