What is the Greatest Common Factor of 66616 and 66627?

Greatest common factor (GCF) of 66616 and 66627 is 11.

GCF(66616,66627) = 11

We will now calculate the prime factors of 66616 and 66627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66616 and 66627.

How to find the GCF of 66616 and 66627?

We will first find the prime factorization of 66616 and 66627. After we will calculate the factors of 66616 and 66627 and find the biggest common factor number .

Step-1: Prime Factorization of 66616

Prime factors of 66616 are 2, 11, 757. Prime factorization of 66616 in exponential form is:

66616 = 2³ × 11¹ × 757¹

Step-2: 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-3: Factors of 66616

List of positive integer factors of 66616 that divides 66616 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 757, 1514, 3028, 6056, 8327, 16654, 33308

Step-4: Factors of 66627

List of positive integer factors of 66627 that divides 66616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66616 and 66627. The biggest common factor number is the GCF number.
So the greatest common factor 66616 and 66627 is 11.

Also check out the Least Common Multiple of 66616 and 66627