What is the Greatest Common Factor of 66627 and 66636?

Greatest common factor (GCF) of 66627 and 66636 is 9.

GCF(66627,66636) = 9

We will now calculate the prime factors of 66627 and 66636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66627 and 66636.

How to find the GCF of 66627 and 66636?

We will first find the prime factorization of 66627 and 66636. After we will calculate the factors of 66627 and 66636 and find the biggest common factor number .

Step-1: Prime Factorization of 66627

Prime factors of 66627 are 3, 11, 673. Prime factorization of 66627 in exponential form is:

66627 = 3² × 11¹ × 673¹

Step-2: Prime Factorization of 66636

Prime factors of 66636 are 2, 3, 617. Prime factorization of 66636 in exponential form is:

66636 = 2² × 3³ × 617¹

Step-3: Factors of 66627

List of positive integer factors of 66627 that divides 66627 without a remainder.

1, 3, 9, 11, 33, 99, 673, 2019, 6057, 7403, 22209

Step-4: Factors of 66636

List of positive integer factors of 66636 that divides 66627 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 617, 1234, 1851, 2468, 3702, 5553, 7404, 11106, 16659, 22212, 33318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66627 and 66636. The biggest common factor number is the GCF number.
So the greatest common factor 66627 and 66636 is 9.

Also check out the Least Common Multiple of 66627 and 66636