What is the Greatest Common Factor of 56985 and 56997?

Greatest common factor (GCF) of 56985 and 56997 is 3.

GCF(56985,56997) = 3

We will now calculate the prime factors of 56985 and 56997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56985 and 56997.

How to find the GCF of 56985 and 56997?

We will first find the prime factorization of 56985 and 56997. After we will calculate the factors of 56985 and 56997 and find the biggest common factor number .

Step-1: Prime Factorization of 56985

Prime factors of 56985 are 3, 5, 29, 131. Prime factorization of 56985 in exponential form is:

56985 = 3¹ × 5¹ × 29¹ × 131¹

Step-2: Prime Factorization of 56997

Prime factors of 56997 are 3, 2111. Prime factorization of 56997 in exponential form is:

56997 = 3³ × 2111¹

Step-3: Factors of 56985

List of positive integer factors of 56985 that divides 56985 without a remainder.

1, 3, 5, 15, 29, 87, 131, 145, 393, 435, 655, 1965, 3799, 11397, 18995

Step-4: Factors of 56997

List of positive integer factors of 56997 that divides 56985 without a remainder.

1, 3, 9, 27, 2111, 6333, 18999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56985 and 56997. The biggest common factor number is the GCF number.
So the greatest common factor 56985 and 56997 is 3.

Also check out the Least Common Multiple of 56985 and 56997