What is the Greatest Common Factor of 31254 and 31262?

Greatest common factor (GCF) of 31254 and 31262 is 2.

GCF(31254,31262) = 2

We will now calculate the prime factors of 31254 and 31262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31254 and 31262.

How to find the GCF of 31254 and 31262?

We will first find the prime factorization of 31254 and 31262. After we will calculate the factors of 31254 and 31262 and find the biggest common factor number .

Step-1: Prime Factorization of 31254

Prime factors of 31254 are 2, 3, 5209. Prime factorization of 31254 in exponential form is:

31254 = 2¹ × 3¹ × 5209¹

Step-2: Prime Factorization of 31262

Prime factors of 31262 are 2, 7, 11, 29. Prime factorization of 31262 in exponential form is:

31262 = 2¹ × 7² × 11¹ × 29¹

Step-3: Factors of 31254

List of positive integer factors of 31254 that divides 31254 without a remainder.

1, 2, 3, 6, 5209, 10418, 15627

Step-4: Factors of 31262

List of positive integer factors of 31262 that divides 31254 without a remainder.

1, 2, 7, 11, 14, 22, 29, 49, 58, 77, 98, 154, 203, 319, 406, 539, 638, 1078, 1421, 2233, 2842, 4466, 15631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31254 and 31262. The biggest common factor number is the GCF number.
So the greatest common factor 31254 and 31262 is 2.

Also check out the Least Common Multiple of 31254 and 31262