What is the Greatest Common Factor of 31456 and 31460?

Greatest common factor (GCF) of 31456 and 31460 is 4.

GCF(31456,31460) = 4

We will now calculate the prime factors of 31456 and 31460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31456 and 31460.

How to find the GCF of 31456 and 31460?

We will first find the prime factorization of 31456 and 31460. After we will calculate the factors of 31456 and 31460 and find the biggest common factor number .

Step-1: Prime Factorization of 31456

Prime factors of 31456 are 2, 983. Prime factorization of 31456 in exponential form is:

31456 = 2⁵ × 983¹

Step-2: Prime Factorization of 31460

Prime factors of 31460 are 2, 5, 11, 13. Prime factorization of 31460 in exponential form is:

31460 = 2² × 5¹ × 11² × 13¹

Step-3: Factors of 31456

List of positive integer factors of 31456 that divides 31456 without a remainder.

1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864, 15728

Step-4: Factors of 31460

List of positive integer factors of 31460 that divides 31456 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 121, 130, 143, 220, 242, 260, 286, 484, 572, 605, 715, 1210, 1430, 1573, 2420, 2860, 3146, 6292, 7865, 15730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31456 and 31460. The biggest common factor number is the GCF number.
So the greatest common factor 31456 and 31460 is 4.

Also check out the Least Common Multiple of 31456 and 31460