What is the Greatest Common Factor of 62508 and 62517?

Greatest common factor (GCF) of 62508 and 62517 is 3.

GCF(62508,62517) = 3

We will now calculate the prime factors of 62508 and 62517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62508 and 62517.

How to find the GCF of 62508 and 62517?

We will first find the prime factorization of 62508 and 62517. After we will calculate the factors of 62508 and 62517 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62517

Prime factors of 62517 are 3, 7, 13, 229. Prime factorization of 62517 in exponential form is:

62517 = 3¹ × 7¹ × 13¹ × 229¹

Step-3: Factors of 62508

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

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

Step-4: Factors of 62517

List of positive integer factors of 62517 that divides 62508 without a remainder.

1, 3, 7, 13, 21, 39, 91, 229, 273, 687, 1603, 2977, 4809, 8931, 20839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62508 and 62517. The biggest common factor number is the GCF number.
So the greatest common factor 62508 and 62517 is 3.

Also check out the Least Common Multiple of 62508 and 62517