What is the Greatest Common Factor of 66591 and 66605?

Greatest common factor (GCF) of 66591 and 66605 is 7.

GCF(66591,66605) = 7

We will now calculate the prime factors of 66591 and 66605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66591 and 66605.

How to find the GCF of 66591 and 66605?

We will first find the prime factorization of 66591 and 66605. After we will calculate the factors of 66591 and 66605 and find the biggest common factor number .

Step-1: Prime Factorization of 66591

Prime factors of 66591 are 3, 7, 151. Prime factorization of 66591 in exponential form is:

66591 = 3² × 7² × 151¹

Step-2: Prime Factorization of 66605

Prime factors of 66605 are 5, 7, 11, 173. Prime factorization of 66605 in exponential form is:

66605 = 5¹ × 7¹ × 11¹ × 173¹

Step-3: Factors of 66591

List of positive integer factors of 66591 that divides 66591 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 151, 441, 453, 1057, 1359, 3171, 7399, 9513, 22197

Step-4: Factors of 66605

List of positive integer factors of 66605 that divides 66591 without a remainder.

1, 5, 7, 11, 35, 55, 77, 173, 385, 865, 1211, 1903, 6055, 9515, 13321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66591 and 66605. The biggest common factor number is the GCF number.
So the greatest common factor 66591 and 66605 is 7.

Also check out the Least Common Multiple of 66591 and 66605