What is the Greatest Common Factor of 31916 and 31936?

Greatest common factor (GCF) of 31916 and 31936 is 4.

GCF(31916,31936) = 4

We will now calculate the prime factors of 31916 and 31936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31916 and 31936.

How to find the GCF of 31916 and 31936?

We will first find the prime factorization of 31916 and 31936. After we will calculate the factors of 31916 and 31936 and find the biggest common factor number .

Step-1: Prime Factorization of 31916

Prime factors of 31916 are 2, 79, 101. Prime factorization of 31916 in exponential form is:

31916 = 2² × 79¹ × 101¹

Step-2: Prime Factorization of 31936

Prime factors of 31936 are 2, 499. Prime factorization of 31936 in exponential form is:

31936 = 2⁶ × 499¹

Step-3: Factors of 31916

List of positive integer factors of 31916 that divides 31916 without a remainder.

1, 2, 4, 79, 101, 158, 202, 316, 404, 7979, 15958

Step-4: Factors of 31936

List of positive integer factors of 31936 that divides 31916 without a remainder.

1, 2, 4, 8, 16, 32, 64, 499, 998, 1996, 3992, 7984, 15968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31916 and 31936. The biggest common factor number is the GCF number.
So the greatest common factor 31916 and 31936 is 4.

Also check out the Least Common Multiple of 31916 and 31936