What is the Greatest Common Factor of 31473 and 31486?

Greatest common factor (GCF) of 31473 and 31486 is 13.

GCF(31473,31486) = 13

We will now calculate the prime factors of 31473 and 31486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31473 and 31486.

How to find the GCF of 31473 and 31486?

We will first find the prime factorization of 31473 and 31486. After we will calculate the factors of 31473 and 31486 and find the biggest common factor number .

Step-1: Prime Factorization of 31473

Prime factors of 31473 are 3, 13, 269. Prime factorization of 31473 in exponential form is:

31473 = 3² × 13¹ × 269¹

Step-2: 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-3: Factors of 31473

List of positive integer factors of 31473 that divides 31473 without a remainder.

1, 3, 9, 13, 39, 117, 269, 807, 2421, 3497, 10491

Step-4: Factors of 31486

List of positive integer factors of 31486 that divides 31473 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31473 and 31486. The biggest common factor number is the GCF number.
So the greatest common factor 31473 and 31486 is 13.

Also check out the Least Common Multiple of 31473 and 31486