What is the Greatest Common Factor of 62925 and 62940?

Greatest common factor (GCF) of 62925 and 62940 is 15.

GCF(62925,62940) = 15

We will now calculate the prime factors of 62925 and 62940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62925 and 62940.

How to find the GCF of 62925 and 62940?

We will first find the prime factorization of 62925 and 62940. After we will calculate the factors of 62925 and 62940 and find the biggest common factor number .

Step-1: Prime Factorization of 62925

Prime factors of 62925 are 3, 5, 839. Prime factorization of 62925 in exponential form is:

62925 = 3¹ × 5² × 839¹

Step-2: Prime Factorization of 62940

Prime factors of 62940 are 2, 3, 5, 1049. Prime factorization of 62940 in exponential form is:

62940 = 2² × 3¹ × 5¹ × 1049¹

Step-3: Factors of 62925

List of positive integer factors of 62925 that divides 62925 without a remainder.

1, 3, 5, 15, 25, 75, 839, 2517, 4195, 12585, 20975

Step-4: Factors of 62940

List of positive integer factors of 62940 that divides 62925 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1049, 2098, 3147, 4196, 5245, 6294, 10490, 12588, 15735, 20980, 31470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62925 and 62940. The biggest common factor number is the GCF number.
So the greatest common factor 62925 and 62940 is 15.

Also check out the Least Common Multiple of 62925 and 62940