What is the Greatest Common Factor of 56800 and 56804?

Greatest common factor (GCF) of 56800 and 56804 is 4.

GCF(56800,56804) = 4

We will now calculate the prime factors of 56800 and 56804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56800 and 56804.

How to find the GCF of 56800 and 56804?

We will first find the prime factorization of 56800 and 56804. After we will calculate the factors of 56800 and 56804 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56804

Prime factors of 56804 are 2, 11, 1291. Prime factorization of 56804 in exponential form is:

56804 = 2² × 11¹ × 1291¹

Step-3: Factors of 56800

List of positive integer factors of 56800 that divides 56800 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

Step-4: Factors of 56804

List of positive integer factors of 56804 that divides 56800 without a remainder.

1, 2, 4, 11, 22, 44, 1291, 2582, 5164, 14201, 28402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56800 and 56804. The biggest common factor number is the GCF number.
So the greatest common factor 56800 and 56804 is 4.

Also check out the Least Common Multiple of 56800 and 56804