What is the Greatest Common Factor of 58938 and 58957?

Greatest common factor (GCF) of 58938 and 58957 is 19.

GCF(58938,58957) = 19

We will now calculate the prime factors of 58938 and 58957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58938 and 58957.

How to find the GCF of 58938 and 58957?

We will first find the prime factorization of 58938 and 58957. After we will calculate the factors of 58938 and 58957 and find the biggest common factor number .

Step-1: Prime Factorization of 58938

Prime factors of 58938 are 2, 3, 11, 19, 47. Prime factorization of 58938 in exponential form is:

58938 = 2¹ × 3¹ × 11¹ × 19¹ × 47¹

Step-2: Prime Factorization of 58957

Prime factors of 58957 are 19, 29, 107. Prime factorization of 58957 in exponential form is:

58957 = 19¹ × 29¹ × 107¹

Step-3: Factors of 58938

List of positive integer factors of 58938 that divides 58938 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 47, 57, 66, 94, 114, 141, 209, 282, 418, 517, 627, 893, 1034, 1254, 1551, 1786, 2679, 3102, 5358, 9823, 19646, 29469

Step-4: Factors of 58957

List of positive integer factors of 58957 that divides 58938 without a remainder.

1, 19, 29, 107, 551, 2033, 3103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58938 and 58957. The biggest common factor number is the GCF number.
So the greatest common factor 58938 and 58957 is 19.

Also check out the Least Common Multiple of 58938 and 58957