What is the Greatest Common Factor of 31486 and 31499?

Greatest common factor (GCF) of 31486 and 31499 is 13.

GCF(31486,31499) = 13

We will now calculate the prime factors of 31486 and 31499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31486 and 31499.

How to find the GCF of 31486 and 31499?

We will first find the prime factorization of 31486 and 31499. After we will calculate the factors of 31486 and 31499 and find the biggest common factor number .

Step-1: Prime Factorization of 31486

Prime factors of 31486 are 2, 7, 13, 173. Prime factorization of 31486 in exponential form is:

31486 = 2¹ × 7¹ × 13¹ × 173¹

Step-2: Prime Factorization of 31499

Prime factors of 31499 are 13, 2423. Prime factorization of 31499 in exponential form is:

31499 = 13¹ × 2423¹

Step-3: Factors of 31486

List of positive integer factors of 31486 that divides 31486 without a remainder.

1, 2, 7, 13, 14, 26, 91, 173, 182, 346, 1211, 2249, 2422, 4498, 15743

Step-4: Factors of 31499

List of positive integer factors of 31499 that divides 31486 without a remainder.

1, 13, 2423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31486 and 31499. The biggest common factor number is the GCF number.
So the greatest common factor 31486 and 31499 is 13.

Also check out the Least Common Multiple of 31486 and 31499