What is the Greatest Common Factor of 56808 and 56814?

Greatest common factor (GCF) of 56808 and 56814 is 6.

GCF(56808,56814) = 6

We will now calculate the prime factors of 56808 and 56814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56808 and 56814.

How to find the GCF of 56808 and 56814?

We will first find the prime factorization of 56808 and 56814. After we will calculate the factors of 56808 and 56814 and find the biggest common factor number .

Step-1: Prime Factorization of 56808

Prime factors of 56808 are 2, 3, 263. Prime factorization of 56808 in exponential form is:

56808 = 2³ × 3³ × 263¹

Step-2: Prime Factorization of 56814

Prime factors of 56814 are 2, 3, 17, 557. Prime factorization of 56814 in exponential form is:

56814 = 2¹ × 3¹ × 17¹ × 557¹

Step-3: Factors of 56808

List of positive integer factors of 56808 that divides 56808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 263, 526, 789, 1052, 1578, 2104, 2367, 3156, 4734, 6312, 7101, 9468, 14202, 18936, 28404

Step-4: Factors of 56814

List of positive integer factors of 56814 that divides 56808 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 557, 1114, 1671, 3342, 9469, 18938, 28407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56808 and 56814. The biggest common factor number is the GCF number.
So the greatest common factor 56808 and 56814 is 6.

Also check out the Least Common Multiple of 56808 and 56814