What is the Greatest Common Factor of 58919 and 58938?

Greatest common factor (GCF) of 58919 and 58938 is 19.

GCF(58919,58938) = 19

We will now calculate the prime factors of 58919 and 58938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58919 and 58938.

How to find the GCF of 58919 and 58938?

We will first find the prime factorization of 58919 and 58938. After we will calculate the factors of 58919 and 58938 and find the biggest common factor number .

Step-1: Prime Factorization of 58919

Prime factors of 58919 are 7, 19, 443. Prime factorization of 58919 in exponential form is:

58919 = 7¹ × 19¹ × 443¹

Step-2: 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-3: Factors of 58919

List of positive integer factors of 58919 that divides 58919 without a remainder.

1, 7, 19, 133, 443, 3101, 8417

Step-4: Factors of 58938

List of positive integer factors of 58938 that divides 58919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58919 and 58938. The biggest common factor number is the GCF number.
So the greatest common factor 58919 and 58938 is 19.

Also check out the Least Common Multiple of 58919 and 58938