What is the Greatest Common Factor of 52938 and 52953?

Greatest common factor (GCF) of 52938 and 52953 is 3.

GCF(52938,52953) = 3

We will now calculate the prime factors of 52938 and 52953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52938 and 52953.

How to find the GCF of 52938 and 52953?

We will first find the prime factorization of 52938 and 52953. After we will calculate the factors of 52938 and 52953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52953

Prime factors of 52953 are 3, 19, 929. Prime factorization of 52953 in exponential form is:

52953 = 3¹ × 19¹ × 929¹

Step-3: Factors of 52938

List of positive integer factors of 52938 that divides 52938 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

Step-4: Factors of 52953

List of positive integer factors of 52953 that divides 52938 without a remainder.

1, 3, 19, 57, 929, 2787, 17651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52938 and 52953. The biggest common factor number is the GCF number.
So the greatest common factor 52938 and 52953 is 3.

Also check out the Least Common Multiple of 52938 and 52953