What is the Greatest Common Factor of 66544 and 66564?

Greatest common factor (GCF) of 66544 and 66564 is 4.

GCF(66544,66564) = 4

We will now calculate the prime factors of 66544 and 66564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66544 and 66564.

How to find the GCF of 66544 and 66564?

We will first find the prime factorization of 66544 and 66564. After we will calculate the factors of 66544 and 66564 and find the biggest common factor number .

Step-1: Prime Factorization of 66544

Prime factors of 66544 are 2, 4159. Prime factorization of 66544 in exponential form is:

66544 = 2⁴ × 4159¹

Step-2: Prime Factorization of 66564

Prime factors of 66564 are 2, 3, 43. Prime factorization of 66564 in exponential form is:

66564 = 2² × 3² × 43²

Step-3: Factors of 66544

List of positive integer factors of 66544 that divides 66544 without a remainder.

1, 2, 4, 8, 16, 4159, 8318, 16636, 33272

Step-4: Factors of 66564

List of positive integer factors of 66564 that divides 66544 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548, 1849, 3698, 5547, 7396, 11094, 16641, 22188, 33282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66544 and 66564. The biggest common factor number is the GCF number.
So the greatest common factor 66544 and 66564 is 4.

Also check out the Least Common Multiple of 66544 and 66564