What is the Greatest Common Factor of 56076 and 56085?

Greatest common factor (GCF) of 56076 and 56085 is 3.

GCF(56076,56085) = 3

We will now calculate the prime factors of 56076 and 56085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56076 and 56085.

How to find the GCF of 56076 and 56085?

We will first find the prime factorization of 56076 and 56085. After we will calculate the factors of 56076 and 56085 and find the biggest common factor number .

Step-1: Prime Factorization of 56076

Prime factors of 56076 are 2, 3, 4673. Prime factorization of 56076 in exponential form is:

56076 = 2² × 3¹ × 4673¹

Step-2: Prime Factorization of 56085

Prime factors of 56085 are 3, 5, 3739. Prime factorization of 56085 in exponential form is:

56085 = 3¹ × 5¹ × 3739¹

Step-3: Factors of 56076

List of positive integer factors of 56076 that divides 56076 without a remainder.

1, 2, 3, 4, 6, 12, 4673, 9346, 14019, 18692, 28038

Step-4: Factors of 56085

List of positive integer factors of 56085 that divides 56076 without a remainder.

1, 3, 5, 15, 3739, 11217, 18695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56076 and 56085. The biggest common factor number is the GCF number.
So the greatest common factor 56076 and 56085 is 3.

Also check out the Least Common Multiple of 56076 and 56085