What is the Greatest Common Factor of 52921 and 52938?

Greatest common factor (GCF) of 52921 and 52938 is 17.

GCF(52921,52938) = 17

We will now calculate the prime factors of 52921 and 52938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52921 and 52938.

How to find the GCF of 52921 and 52938?

We will first find the prime factorization of 52921 and 52938. After we will calculate the factors of 52921 and 52938 and find the biggest common factor number .

Step-1: Prime Factorization of 52921

Prime factors of 52921 are 11, 17, 283. Prime factorization of 52921 in exponential form is:

52921 = 11¹ × 17¹ × 283¹

Step-2: Prime Factorization of 52938

Prime factors of 52938 are 2, 3, 17, 173. Prime factorization of 52938 in exponential form is:

52938 = 2¹ × 3² × 17¹ × 173¹

Step-3: Factors of 52921

List of positive integer factors of 52921 that divides 52921 without a remainder.

1, 11, 17, 187, 283, 3113, 4811

Step-4: Factors of 52938

List of positive integer factors of 52938 that divides 52921 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 173, 306, 346, 519, 1038, 1557, 2941, 3114, 5882, 8823, 17646, 26469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52921 and 52938. The biggest common factor number is the GCF number.
So the greatest common factor 52921 and 52938 is 17.

Also check out the Least Common Multiple of 52921 and 52938