What is the Greatest Common Factor of 56780 and 56800?

Greatest common factor (GCF) of 56780 and 56800 is 20.

GCF(56780,56800) = 20

We will now calculate the prime factors of 56780 and 56800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56780 and 56800.

How to find the GCF of 56780 and 56800?

We will first find the prime factorization of 56780 and 56800. After we will calculate the factors of 56780 and 56800 and find the biggest common factor number .

Step-1: Prime Factorization of 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 2² × 5¹ × 17¹ × 167¹

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 56780

List of positive integer factors of 56780 that divides 56780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 167, 170, 334, 340, 668, 835, 1670, 2839, 3340, 5678, 11356, 14195, 28390

Step-4: Factors of 56800

List of positive integer factors of 56800 that divides 56780 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 56780 and 56800. The biggest common factor number is the GCF number.
So the greatest common factor 56780 and 56800 is 20.

Also check out the Least Common Multiple of 56780 and 56800