What is the Greatest Common Factor of 52938 and 52958?

Greatest common factor (GCF) of 52938 and 52958 is 2.

GCF(52938,52958) = 2

We will now calculate the prime factors of 52938 and 52958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52938 and 52958.

How to find the GCF of 52938 and 52958?

We will first find the prime factorization of 52938 and 52958. After we will calculate the factors of 52938 and 52958 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 52958

Prime factors of 52958 are 2, 26479. Prime factorization of 52958 in exponential form is:

52958 = 2¹ × 26479¹

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 52958

List of positive integer factors of 52958 that divides 52938 without a remainder.

1, 2, 26479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52938 and 52958. The biggest common factor number is the GCF number.
So the greatest common factor 52938 and 52958 is 2.

Also check out the Least Common Multiple of 52938 and 52958