What is the Greatest Common Factor of 54621 and 54635?

Greatest common factor (GCF) of 54621 and 54635 is 7.

GCF(54621,54635) = 7

We will now calculate the prime factors of 54621 and 54635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54621 and 54635.

How to find the GCF of 54621 and 54635?

We will first find the prime factorization of 54621 and 54635. After we will calculate the factors of 54621 and 54635 and find the biggest common factor number .

Step-1: Prime Factorization of 54621

Prime factors of 54621 are 3, 7, 17. Prime factorization of 54621 in exponential form is:

54621 = 3³ × 7¹ × 17²

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 54621

List of positive integer factors of 54621 that divides 54621 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 289, 357, 459, 867, 1071, 2023, 2601, 3213, 6069, 7803, 18207

Step-4: Factors of 54635

List of positive integer factors of 54635 that divides 54621 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 54621 and 54635. The biggest common factor number is the GCF number.
So the greatest common factor 54621 and 54635 is 7.

Also check out the Least Common Multiple of 54621 and 54635