What is the Greatest Common Factor of 31260 and 31264?

Greatest common factor (GCF) of 31260 and 31264 is 4.

GCF(31260,31264) = 4

We will now calculate the prime factors of 31260 and 31264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31260 and 31264.

How to find the GCF of 31260 and 31264?

We will first find the prime factorization of 31260 and 31264. After we will calculate the factors of 31260 and 31264 and find the biggest common factor number .

Step-1: Prime Factorization of 31260

Prime factors of 31260 are 2, 3, 5, 521. Prime factorization of 31260 in exponential form is:

31260 = 2² × 3¹ × 5¹ × 521¹

Step-2: Prime Factorization of 31264

Prime factors of 31264 are 2, 977. Prime factorization of 31264 in exponential form is:

31264 = 2⁵ × 977¹

Step-3: Factors of 31260

List of positive integer factors of 31260 that divides 31260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 521, 1042, 1563, 2084, 2605, 3126, 5210, 6252, 7815, 10420, 15630

Step-4: Factors of 31264

List of positive integer factors of 31264 that divides 31260 without a remainder.

1, 2, 4, 8, 16, 32, 977, 1954, 3908, 7816, 15632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31260 and 31264. The biggest common factor number is the GCF number.
So the greatest common factor 31260 and 31264 is 4.

Also check out the Least Common Multiple of 31260 and 31264