What is the Greatest Common Factor of 62925 and 62934?

Greatest common factor (GCF) of 62925 and 62934 is 3.

GCF(62925,62934) = 3

We will now calculate the prime factors of 62925 and 62934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62925 and 62934.

How to find the GCF of 62925 and 62934?

We will first find the prime factorization of 62925 and 62934. After we will calculate the factors of 62925 and 62934 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 62934

Prime factors of 62934 are 2, 3, 17, 617. Prime factorization of 62934 in exponential form is:

62934 = 2¹ × 3¹ × 17¹ × 617¹

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 62934

List of positive integer factors of 62934 that divides 62925 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 617, 1234, 1851, 3702, 10489, 20978, 31467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62925 and 62934. The biggest common factor number is the GCF number.
So the greatest common factor 62925 and 62934 is 3.

Also check out the Least Common Multiple of 62925 and 62934