What is the Greatest Common Factor of 56997 and 57009?

Greatest common factor (GCF) of 56997 and 57009 is 3.

GCF(56997,57009) = 3

We will now calculate the prime factors of 56997 and 57009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56997 and 57009.

How to find the GCF of 56997 and 57009?

We will first find the prime factorization of 56997 and 57009. After we will calculate the factors of 56997 and 57009 and find the biggest common factor number .

Step-1: Prime Factorization of 56997

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

56997 = 3³ × 2111¹

Step-2: Prime Factorization of 57009

Prime factors of 57009 are 3, 31, 613. Prime factorization of 57009 in exponential form is:

57009 = 3¹ × 31¹ × 613¹

Step-3: Factors of 56997

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

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

Step-4: Factors of 57009

List of positive integer factors of 57009 that divides 56997 without a remainder.

1, 3, 31, 93, 613, 1839, 19003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56997 and 57009. The biggest common factor number is the GCF number.
So the greatest common factor 56997 and 57009 is 3.

Also check out the Least Common Multiple of 56997 and 57009