What is the Greatest Common Factor of 56800 and 56816?

Greatest common factor (GCF) of 56800 and 56816 is 16.

GCF(56800,56816) = 16

We will now calculate the prime factors of 56800 and 56816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56800 and 56816.

How to find the GCF of 56800 and 56816?

We will first find the prime factorization of 56800 and 56816. After we will calculate the factors of 56800 and 56816 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 56816

Prime factors of 56816 are 2, 53, 67. Prime factorization of 56816 in exponential form is:

56816 = 2⁴ × 53¹ × 67¹

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 56816

List of positive integer factors of 56816 that divides 56800 without a remainder.

1, 2, 4, 8, 16, 53, 67, 106, 134, 212, 268, 424, 536, 848, 1072, 3551, 7102, 14204, 28408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56800 and 56816. The biggest common factor number is the GCF number.
So the greatest common factor 56800 and 56816 is 16.

Also check out the Least Common Multiple of 56800 and 56816