What is the Greatest Common Factor of 56959 and 56963?

Greatest common factor (GCF) of 56959 and 56963 is 1.

GCF(56959,56963) = 1

We will now calculate the prime factors of 56959 and 56963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56959 and 56963.

How to find the GCF of 56959 and 56963?

We will first find the prime factorization of 56959 and 56963. After we will calculate the factors of 56959 and 56963 and find the biggest common factor number .

Step-1: Prime Factorization of 56959

Prime factors of 56959 are 7, 79, 103. Prime factorization of 56959 in exponential form is:

56959 = 7¹ × 79¹ × 103¹

Step-2: Prime Factorization of 56963

Prime factors of 56963 are 56963. Prime factorization of 56963 in exponential form is:

56963 = 56963¹

Step-3: Factors of 56959

List of positive integer factors of 56959 that divides 56959 without a remainder.

1, 7, 79, 103, 553, 721, 8137

Step-4: Factors of 56963

List of positive integer factors of 56963 that divides 56959 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56959 and 56963. The biggest common factor number is the GCF number.
So the greatest common factor 56959 and 56963 is 1.

Also check out the Least Common Multiple of 56959 and 56963