What is the Greatest Common Factor of 57959 and 57963?

Greatest common factor (GCF) of 57959 and 57963 is 1.

GCF(57959,57963) = 1

We will now calculate the prime factors of 57959 and 57963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57959 and 57963.

How to find the GCF of 57959 and 57963?

We will first find the prime factorization of 57959 and 57963. After we will calculate the factors of 57959 and 57963 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 57963

Prime factors of 57963 are 3, 139. Prime factorization of 57963 in exponential form is:

57963 = 3¹ × 139²

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 57963

List of positive integer factors of 57963 that divides 57959 without a remainder.

1, 3, 139, 417, 19321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57959 and 57963. The biggest common factor number is the GCF number.
So the greatest common factor 57959 and 57963 is 1.

Also check out the Least Common Multiple of 57959 and 57963