What is the Greatest Common Factor of 54621 and 54638?

Greatest common factor (GCF) of 54621 and 54638 is 17.

GCF(54621,54638) = 17

We will now calculate the prime factors of 54621 and 54638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54621 and 54638.

How to find the GCF of 54621 and 54638?

We will first find the prime factorization of 54621 and 54638. After we will calculate the factors of 54621 and 54638 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 54638

Prime factors of 54638 are 2, 17, 1607. Prime factorization of 54638 in exponential form is:

54638 = 2¹ × 17¹ × 1607¹

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 54638

List of positive integer factors of 54638 that divides 54621 without a remainder.

1, 2, 17, 34, 1607, 3214, 27319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54621 and 54638. The biggest common factor number is the GCF number.
So the greatest common factor 54621 and 54638 is 17.

Also check out the Least Common Multiple of 54621 and 54638