What is the Greatest Common Factor of 62502 and 62508?

Greatest common factor (GCF) of 62502 and 62508 is 6.

GCF(62502,62508) = 6

We will now calculate the prime factors of 62502 and 62508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62502 and 62508.

How to find the GCF of 62502 and 62508?

We will first find the prime factorization of 62502 and 62508. After we will calculate the factors of 62502 and 62508 and find the biggest common factor number .

Step-1: Prime Factorization of 62502

Prime factors of 62502 are 2, 3, 11, 947. Prime factorization of 62502 in exponential form is:

62502 = 2¹ × 3¹ × 11¹ × 947¹

Step-2: Prime Factorization of 62508

Prime factors of 62508 are 2, 3, 5209. Prime factorization of 62508 in exponential form is:

62508 = 2² × 3¹ × 5209¹

Step-3: Factors of 62502

List of positive integer factors of 62502 that divides 62502 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 947, 1894, 2841, 5682, 10417, 20834, 31251

Step-4: Factors of 62508

List of positive integer factors of 62508 that divides 62502 without a remainder.

1, 2, 3, 4, 6, 12, 5209, 10418, 15627, 20836, 31254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62502 and 62508. The biggest common factor number is the GCF number.
So the greatest common factor 62502 and 62508 is 6.

Also check out the Least Common Multiple of 62502 and 62508