What is the Greatest Common Factor of 66577 and 66584?

Greatest common factor (GCF) of 66577 and 66584 is 7.

GCF(66577,66584) = 7

We will now calculate the prime factors of 66577 and 66584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66577 and 66584.

How to find the GCF of 66577 and 66584?

We will first find the prime factorization of 66577 and 66584. After we will calculate the factors of 66577 and 66584 and find the biggest common factor number .

Step-1: Prime Factorization of 66577

Prime factors of 66577 are 7, 9511. Prime factorization of 66577 in exponential form is:

66577 = 7¹ × 9511¹

Step-2: Prime Factorization of 66584

Prime factors of 66584 are 2, 7, 29, 41. Prime factorization of 66584 in exponential form is:

66584 = 2³ × 7¹ × 29¹ × 41¹

Step-3: Factors of 66577

List of positive integer factors of 66577 that divides 66577 without a remainder.

1, 7, 9511

Step-4: Factors of 66584

List of positive integer factors of 66584 that divides 66577 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 41, 56, 58, 82, 116, 164, 203, 232, 287, 328, 406, 574, 812, 1148, 1189, 1624, 2296, 2378, 4756, 8323, 9512, 16646, 33292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66577 and 66584. The biggest common factor number is the GCF number.
So the greatest common factor 66577 and 66584 is 7.

Also check out the Least Common Multiple of 66577 and 66584