What is the Greatest Common Factor of 57919 and 57924?

Greatest common factor (GCF) of 57919 and 57924 is 1.

GCF(57919,57924) = 1

We will now calculate the prime factors of 57919 and 57924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57919 and 57924.

How to find the GCF of 57919 and 57924?

We will first find the prime factorization of 57919 and 57924. After we will calculate the factors of 57919 and 57924 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 57924

Prime factors of 57924 are 2, 3, 1609. Prime factorization of 57924 in exponential form is:

57924 = 2² × 3² × 1609¹

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 57924

List of positive integer factors of 57924 that divides 57919 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1609, 3218, 4827, 6436, 9654, 14481, 19308, 28962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57919 and 57924. The biggest common factor number is the GCF number.
So the greatest common factor 57919 and 57924 is 1.

Also check out the Least Common Multiple of 57919 and 57924