What is the Greatest Common Factor of 31484 and 31501?

Greatest common factor (GCF) of 31484 and 31501 is 17.

GCF(31484,31501) = 17

We will now calculate the prime factors of 31484 and 31501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31484 and 31501.

How to find the GCF of 31484 and 31501?

We will first find the prime factorization of 31484 and 31501. After we will calculate the factors of 31484 and 31501 and find the biggest common factor number .

Step-1: Prime Factorization of 31484

Prime factors of 31484 are 2, 17, 463. Prime factorization of 31484 in exponential form is:

31484 = 2² × 17¹ × 463¹

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 31484

List of positive integer factors of 31484 that divides 31484 without a remainder.

1, 2, 4, 17, 34, 68, 463, 926, 1852, 7871, 15742

Step-4: Factors of 31501

List of positive integer factors of 31501 that divides 31484 without a remainder.

1, 17, 109, 289, 1853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31484 and 31501. The biggest common factor number is the GCF number.
So the greatest common factor 31484 and 31501 is 17.

Also check out the Least Common Multiple of 31484 and 31501