What is the Greatest Common Factor of 31484 and 31498?

Greatest common factor (GCF) of 31484 and 31498 is 2.

GCF(31484,31498) = 2

We will now calculate the prime factors of 31484 and 31498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31484 and 31498.

How to find the GCF of 31484 and 31498?

We will first find the prime factorization of 31484 and 31498. After we will calculate the factors of 31484 and 31498 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 31498

Prime factors of 31498 are 2, 15749. Prime factorization of 31498 in exponential form is:

31498 = 2¹ × 15749¹

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 31498

List of positive integer factors of 31498 that divides 31484 without a remainder.

1, 2, 15749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31484 and 31498. The biggest common factor number is the GCF number.
So the greatest common factor 31484 and 31498 is 2.

Also check out the Least Common Multiple of 31484 and 31498