What is the Greatest Common Factor of 56785 and 56800?

Greatest common factor (GCF) of 56785 and 56800 is 5.

GCF(56785,56800) = 5

We will now calculate the prime factors of 56785 and 56800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56785 and 56800.

How to find the GCF of 56785 and 56800?

We will first find the prime factorization of 56785 and 56800. After we will calculate the factors of 56785 and 56800 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 56800

Prime factors of 56800 are 2, 5, 71. Prime factorization of 56800 in exponential form is:

56800 = 2⁵ × 5² × 71¹

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 56800

List of positive integer factors of 56800 that divides 56785 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 71, 80, 100, 142, 160, 200, 284, 355, 400, 568, 710, 800, 1136, 1420, 1775, 2272, 2840, 3550, 5680, 7100, 11360, 14200, 28400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56785 and 56800. The biggest common factor number is the GCF number.
So the greatest common factor 56785 and 56800 is 5.

Also check out the Least Common Multiple of 56785 and 56800