What is the Greatest Common Factor of 31488 and 31502?

Greatest common factor (GCF) of 31488 and 31502 is 2.

GCF(31488,31502) = 2

We will now calculate the prime factors of 31488 and 31502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31488 and 31502.

How to find the GCF of 31488 and 31502?

We will first find the prime factorization of 31488 and 31502. After we will calculate the factors of 31488 and 31502 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 31502

Prime factors of 31502 are 2, 19, 829. Prime factorization of 31502 in exponential form is:

31502 = 2¹ × 19¹ × 829¹

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 31502

List of positive integer factors of 31502 that divides 31488 without a remainder.

1, 2, 19, 38, 829, 1658, 15751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31488 and 31502. The biggest common factor number is the GCF number.
So the greatest common factor 31488 and 31502 is 2.

Also check out the Least Common Multiple of 31488 and 31502