What is the Greatest Common Factor of 31488 and 31508?

Greatest common factor (GCF) of 31488 and 31508 is 4.

GCF(31488,31508) = 4

We will now calculate the prime factors of 31488 and 31508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31488 and 31508.

How to find the GCF of 31488 and 31508?

We will first find the prime factorization of 31488 and 31508. After we will calculate the factors of 31488 and 31508 and find the biggest common factor number .

Step-1: Prime Factorization of 31488

Prime factors of 31488 are 2, 3, 41. Prime factorization of 31488 in exponential form is:

31488 = 2⁸ × 3¹ × 41¹

Step-2: Prime Factorization of 31508

Prime factors of 31508 are 2, 7877. Prime factorization of 31508 in exponential form is:

31508 = 2² × 7877¹

Step-3: Factors of 31488

List of positive integer factors of 31488 that divides 31488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 128, 164, 192, 246, 256, 328, 384, 492, 656, 768, 984, 1312, 1968, 2624, 3936, 5248, 7872, 10496, 15744

Step-4: Factors of 31508

List of positive integer factors of 31508 that divides 31488 without a remainder.

1, 2, 4, 7877, 15754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31488 and 31508. The biggest common factor number is the GCF number.
So the greatest common factor 31488 and 31508 is 4.

Also check out the Least Common Multiple of 31488 and 31508