What is the Greatest Common Factor of 57959 and 57964?

Greatest common factor (GCF) of 57959 and 57964 is 1.

GCF(57959,57964) = 1

We will now calculate the prime factors of 57959 and 57964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57959 and 57964.

How to find the GCF of 57959 and 57964?

We will first find the prime factorization of 57959 and 57964. After we will calculate the factors of 57959 and 57964 and find the biggest common factor number .

Step-1: Prime Factorization of 57959

Prime factors of 57959 are 11, 479. Prime factorization of 57959 in exponential form is:

57959 = 11² × 479¹

Step-2: Prime Factorization of 57964

Prime factors of 57964 are 2, 43, 337. Prime factorization of 57964 in exponential form is:

57964 = 2² × 43¹ × 337¹

Step-3: Factors of 57959

List of positive integer factors of 57959 that divides 57959 without a remainder.

1, 11, 121, 479, 5269

Step-4: Factors of 57964

List of positive integer factors of 57964 that divides 57959 without a remainder.

1, 2, 4, 43, 86, 172, 337, 674, 1348, 14491, 28982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57959 and 57964. The biggest common factor number is the GCF number.
So the greatest common factor 57959 and 57964 is 1.

Also check out the Least Common Multiple of 57959 and 57964