What is the Greatest Common Factor of 57919 and 57939?

Greatest common factor (GCF) of 57919 and 57939 is 1.

GCF(57919,57939) = 1

We will now calculate the prime factors of 57919 and 57939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57919 and 57939.

How to find the GCF of 57919 and 57939?

We will first find the prime factorization of 57919 and 57939. After we will calculate the factors of 57919 and 57939 and find the biggest common factor number .

Step-1: Prime Factorization of 57919

Prime factors of 57919 are 17, 3407. Prime factorization of 57919 in exponential form is:

57919 = 17¹ × 3407¹

Step-2: Prime Factorization of 57939

Prime factors of 57939 are 3, 7, 31, 89. Prime factorization of 57939 in exponential form is:

57939 = 3¹ × 7¹ × 31¹ × 89¹

Step-3: Factors of 57919

List of positive integer factors of 57919 that divides 57919 without a remainder.

1, 17, 3407

Step-4: Factors of 57939

List of positive integer factors of 57939 that divides 57919 without a remainder.

1, 3, 7, 21, 31, 89, 93, 217, 267, 623, 651, 1869, 2759, 8277, 19313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57919 and 57939. The biggest common factor number is the GCF number.
So the greatest common factor 57919 and 57939 is 1.

Also check out the Least Common Multiple of 57919 and 57939