What is the Greatest Common Factor of 62493 and 62502?

Greatest common factor (GCF) of 62493 and 62502 is 3.

GCF(62493,62502) = 3

We will now calculate the prime factors of 62493 and 62502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62493 and 62502.

How to find the GCF of 62493 and 62502?

We will first find the prime factorization of 62493 and 62502. After we will calculate the factors of 62493 and 62502 and find the biggest common factor number .

Step-1: Prime Factorization of 62493

Prime factors of 62493 are 3, 37, 563. Prime factorization of 62493 in exponential form is:

62493 = 3¹ × 37¹ × 563¹

Step-2: 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-3: Factors of 62493

List of positive integer factors of 62493 that divides 62493 without a remainder.

1, 3, 37, 111, 563, 1689, 20831

Step-4: Factors of 62502

List of positive integer factors of 62502 that divides 62493 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62493 and 62502. The biggest common factor number is the GCF number.
So the greatest common factor 62493 and 62502 is 3.

Also check out the Least Common Multiple of 62493 and 62502