What is the Greatest Common Factor of 54621 and 54633?

Greatest common factor (GCF) of 54621 and 54633 is 3.

GCF(54621,54633) = 3

We will now calculate the prime factors of 54621 and 54633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54621 and 54633.

How to find the GCF of 54621 and 54633?

We will first find the prime factorization of 54621 and 54633. After we will calculate the factors of 54621 and 54633 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 54633

Prime factors of 54633 are 3, 18211. Prime factorization of 54633 in exponential form is:

54633 = 3¹ × 18211¹

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 54633

List of positive integer factors of 54633 that divides 54621 without a remainder.

1, 3, 18211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54621 and 54633. The biggest common factor number is the GCF number.
So the greatest common factor 54621 and 54633 is 3.

Also check out the Least Common Multiple of 54621 and 54633