What is the Greatest Common Factor of 56949 and 56961?

Greatest common factor (GCF) of 56949 and 56961 is 3.

GCF(56949,56961) = 3

We will now calculate the prime factors of 56949 and 56961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56949 and 56961.

How to find the GCF of 56949 and 56961?

We will first find the prime factorization of 56949 and 56961. After we will calculate the factors of 56949 and 56961 and find the biggest common factor number .

Step-1: Prime Factorization of 56949

Prime factors of 56949 are 3, 41, 463. Prime factorization of 56949 in exponential form is:

56949 = 3¹ × 41¹ × 463¹

Step-2: Prime Factorization of 56961

Prime factors of 56961 are 3, 6329. Prime factorization of 56961 in exponential form is:

56961 = 3² × 6329¹

Step-3: Factors of 56949

List of positive integer factors of 56949 that divides 56949 without a remainder.

1, 3, 41, 123, 463, 1389, 18983

Step-4: Factors of 56961

List of positive integer factors of 56961 that divides 56949 without a remainder.

1, 3, 9, 6329, 18987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56949 and 56961. The biggest common factor number is the GCF number.
So the greatest common factor 56949 and 56961 is 3.

Also check out the Least Common Multiple of 56949 and 56961