What is the Greatest Common Factor of 31486 and 31493?

Greatest common factor (GCF) of 31486 and 31493 is 7.

GCF(31486,31493) = 7

We will now calculate the prime factors of 31486 and 31493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31486 and 31493.

How to find the GCF of 31486 and 31493?

We will first find the prime factorization of 31486 and 31493. After we will calculate the factors of 31486 and 31493 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 31493

Prime factors of 31493 are 7, 11, 409. Prime factorization of 31493 in exponential form is:

31493 = 7¹ × 11¹ × 409¹

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 31493

List of positive integer factors of 31493 that divides 31486 without a remainder.

1, 7, 11, 77, 409, 2863, 4499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31486 and 31493. The biggest common factor number is the GCF number.
So the greatest common factor 31486 and 31493 is 7.

Also check out the Least Common Multiple of 31486 and 31493