What is the Greatest Common Factor of 56661 and 56673?

Greatest common factor (GCF) of 56661 and 56673 is 3.

GCF(56661,56673) = 3

We will now calculate the prime factors of 56661 and 56673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56661 and 56673.

How to find the GCF of 56661 and 56673?

We will first find the prime factorization of 56661 and 56673. After we will calculate the factors of 56661 and 56673 and find the biggest common factor number .

Step-1: Prime Factorization of 56661

Prime factors of 56661 are 3, 11, 17, 101. Prime factorization of 56661 in exponential form is:

56661 = 3¹ × 11¹ × 17¹ × 101¹

Step-2: Prime Factorization of 56673

Prime factors of 56673 are 3, 2099. Prime factorization of 56673 in exponential form is:

56673 = 3³ × 2099¹

Step-3: Factors of 56661

List of positive integer factors of 56661 that divides 56661 without a remainder.

1, 3, 11, 17, 33, 51, 101, 187, 303, 561, 1111, 1717, 3333, 5151, 18887

Step-4: Factors of 56673

List of positive integer factors of 56673 that divides 56661 without a remainder.

1, 3, 9, 27, 2099, 6297, 18891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56661 and 56673. The biggest common factor number is the GCF number.
So the greatest common factor 56661 and 56673 is 3.

Also check out the Least Common Multiple of 56661 and 56673