What is the Greatest Common Factor of 56785 and 56790?

Greatest common factor (GCF) of 56785 and 56790 is 5.

GCF(56785,56790) = 5

We will now calculate the prime factors of 56785 and 56790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56785 and 56790.

How to find the GCF of 56785 and 56790?

We will first find the prime factorization of 56785 and 56790. After we will calculate the factors of 56785 and 56790 and find the biggest common factor number .

Step-1: Prime Factorization of 56785

Prime factors of 56785 are 5, 41, 277. Prime factorization of 56785 in exponential form is:

56785 = 5¹ × 41¹ × 277¹

Step-2: Prime Factorization of 56790

Prime factors of 56790 are 2, 3, 5, 631. Prime factorization of 56790 in exponential form is:

56790 = 2¹ × 3² × 5¹ × 631¹

Step-3: Factors of 56785

List of positive integer factors of 56785 that divides 56785 without a remainder.

1, 5, 41, 205, 277, 1385, 11357

Step-4: Factors of 56790

List of positive integer factors of 56790 that divides 56785 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 631, 1262, 1893, 3155, 3786, 5679, 6310, 9465, 11358, 18930, 28395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56785 and 56790. The biggest common factor number is the GCF number.
So the greatest common factor 56785 and 56790 is 5.

Also check out the Least Common Multiple of 56785 and 56790