What is the Greatest Common Factor of 62613 and 62619?

Greatest common factor (GCF) of 62613 and 62619 is 3.

GCF(62613,62619) = 3

We will now calculate the prime factors of 62613 and 62619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62613 and 62619.

How to find the GCF of 62613 and 62619?

We will first find the prime factorization of 62613 and 62619. After we will calculate the factors of 62613 and 62619 and find the biggest common factor number .

Step-1: Prime Factorization of 62613

Prime factors of 62613 are 3, 773. Prime factorization of 62613 in exponential form is:

62613 = 3⁴ × 773¹

Step-2: Prime Factorization of 62619

Prime factors of 62619 are 3, 20873. Prime factorization of 62619 in exponential form is:

62619 = 3¹ × 20873¹

Step-3: Factors of 62613

List of positive integer factors of 62613 that divides 62613 without a remainder.

1, 3, 9, 27, 81, 773, 2319, 6957, 20871

Step-4: Factors of 62619

List of positive integer factors of 62619 that divides 62613 without a remainder.

1, 3, 20873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62613 and 62619. The biggest common factor number is the GCF number.
So the greatest common factor 62613 and 62619 is 3.

Also check out the Least Common Multiple of 62613 and 62619