What is the Greatest Common Factor of 52938 and 52943?

Greatest common factor (GCF) of 52938 and 52943 is 1.

GCF(52938,52943) = 1

We will now calculate the prime factors of 52938 and 52943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52938 and 52943.

How to find the GCF of 52938 and 52943?

We will first find the prime factorization of 52938 and 52943. After we will calculate the factors of 52938 and 52943 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 52943

Prime factors of 52943 are 11, 4813. Prime factorization of 52943 in exponential form is:

52943 = 11¹ × 4813¹

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 52943

List of positive integer factors of 52943 that divides 52938 without a remainder.

1, 11, 4813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52938 and 52943. The biggest common factor number is the GCF number.
So the greatest common factor 52938 and 52943 is 1.

Also check out the Least Common Multiple of 52938 and 52943