What is the Greatest Common Factor of 54630 and 54635?

Greatest common factor (GCF) of 54630 and 54635 is 5.

GCF(54630,54635) = 5

We will now calculate the prime factors of 54630 and 54635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54630 and 54635.

How to find the GCF of 54630 and 54635?

We will first find the prime factorization of 54630 and 54635. After we will calculate the factors of 54630 and 54635 and find the biggest common factor number .

Step-1: Prime Factorization of 54630

Prime factors of 54630 are 2, 3, 5, 607. Prime factorization of 54630 in exponential form is:

54630 = 2¹ × 3² × 5¹ × 607¹

Step-2: Prime Factorization of 54635

Prime factors of 54635 are 5, 7, 223. Prime factorization of 54635 in exponential form is:

54635 = 5¹ × 7² × 223¹

Step-3: Factors of 54630

List of positive integer factors of 54630 that divides 54630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 607, 1214, 1821, 3035, 3642, 5463, 6070, 9105, 10926, 18210, 27315

Step-4: Factors of 54635

List of positive integer factors of 54635 that divides 54630 without a remainder.

1, 5, 7, 35, 49, 223, 245, 1115, 1561, 7805, 10927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54630 and 54635. The biggest common factor number is the GCF number.
So the greatest common factor 54630 and 54635 is 5.

Also check out the Least Common Multiple of 54630 and 54635