What is the Greatest Common Factor of 56835 and 56855?

Greatest common factor (GCF) of 56835 and 56855 is 5.

GCF(56835,56855) = 5

We will now calculate the prime factors of 56835 and 56855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56835 and 56855.

How to find the GCF of 56835 and 56855?

We will first find the prime factorization of 56835 and 56855. After we will calculate the factors of 56835 and 56855 and find the biggest common factor number .

Step-1: Prime Factorization of 56835

Prime factors of 56835 are 3, 5, 421. Prime factorization of 56835 in exponential form is:

56835 = 3³ × 5¹ × 421¹

Step-2: Prime Factorization of 56855

Prime factors of 56855 are 5, 83, 137. Prime factorization of 56855 in exponential form is:

56855 = 5¹ × 83¹ × 137¹

Step-3: Factors of 56835

List of positive integer factors of 56835 that divides 56835 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 421, 1263, 2105, 3789, 6315, 11367, 18945

Step-4: Factors of 56855

List of positive integer factors of 56855 that divides 56835 without a remainder.

1, 5, 83, 137, 415, 685, 11371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56835 and 56855. The biggest common factor number is the GCF number.
So the greatest common factor 56835 and 56855 is 5.

Also check out the Least Common Multiple of 56835 and 56855