What is the Greatest Common Factor of 31544 and 31564?

Greatest common factor (GCF) of 31544 and 31564 is 4.

GCF(31544,31564) = 4

We will now calculate the prime factors of 31544 and 31564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31544 and 31564.

How to find the GCF of 31544 and 31564?

We will first find the prime factorization of 31544 and 31564. After we will calculate the factors of 31544 and 31564 and find the biggest common factor number .

Step-1: Prime Factorization of 31544

Prime factors of 31544 are 2, 3943. Prime factorization of 31544 in exponential form is:

31544 = 2³ × 3943¹

Step-2: Prime Factorization of 31564

Prime factors of 31564 are 2, 13, 607. Prime factorization of 31564 in exponential form is:

31564 = 2² × 13¹ × 607¹

Step-3: Factors of 31544

List of positive integer factors of 31544 that divides 31544 without a remainder.

1, 2, 4, 8, 3943, 7886, 15772

Step-4: Factors of 31564

List of positive integer factors of 31564 that divides 31544 without a remainder.

1, 2, 4, 13, 26, 52, 607, 1214, 2428, 7891, 15782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31544 and 31564. The biggest common factor number is the GCF number.
So the greatest common factor 31544 and 31564 is 4.

Also check out the Least Common Multiple of 31544 and 31564