What is the Greatest Common Factor of 62493 and 62511?

Greatest common factor (GCF) of 62493 and 62511 is 3.

GCF(62493,62511) = 3

We will now calculate the prime factors of 62493 and 62511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62493 and 62511.

How to find the GCF of 62493 and 62511?

We will first find the prime factorization of 62493 and 62511. After we will calculate the factors of 62493 and 62511 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 62511

Prime factors of 62511 are 3, 67, 311. Prime factorization of 62511 in exponential form is:

62511 = 3¹ × 67¹ × 311¹

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 62511

List of positive integer factors of 62511 that divides 62493 without a remainder.

1, 3, 67, 201, 311, 933, 20837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62493 and 62511. The biggest common factor number is the GCF number.
So the greatest common factor 62493 and 62511 is 3.

Also check out the Least Common Multiple of 62493 and 62511