What is the Greatest Common Factor of 31488 and 31501?

Greatest common factor (GCF) of 31488 and 31501 is 1.

GCF(31488,31501) = 1

We will now calculate the prime factors of 31488 and 31501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31488 and 31501.

How to find the GCF of 31488 and 31501?

We will first find the prime factorization of 31488 and 31501. After we will calculate the factors of 31488 and 31501 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 31501

Prime factors of 31501 are 17, 109. Prime factorization of 31501 in exponential form is:

31501 = 17² × 109¹

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 31501

List of positive integer factors of 31501 that divides 31488 without a remainder.

1, 17, 109, 289, 1853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31488 and 31501. The biggest common factor number is the GCF number.
So the greatest common factor 31488 and 31501 is 1.

Also check out the Least Common Multiple of 31488 and 31501