What is the Greatest Common Factor of 56949 and 56964?

Greatest common factor (GCF) of 56949 and 56964 is 3.

GCF(56949,56964) = 3

We will now calculate the prime factors of 56949 and 56964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56949 and 56964.

How to find the GCF of 56949 and 56964?

We will first find the prime factorization of 56949 and 56964. After we will calculate the factors of 56949 and 56964 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 56964

Prime factors of 56964 are 2, 3, 47, 101. Prime factorization of 56964 in exponential form is:

56964 = 2² × 3¹ × 47¹ × 101¹

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 56964

List of positive integer factors of 56964 that divides 56949 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 101, 141, 188, 202, 282, 303, 404, 564, 606, 1212, 4747, 9494, 14241, 18988, 28482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56949 and 56964. The biggest common factor number is the GCF number.
So the greatest common factor 56949 and 56964 is 3.

Also check out the Least Common Multiple of 56949 and 56964