What is the Greatest Common Factor of 66584 and 66588?

Greatest common factor (GCF) of 66584 and 66588 is 4.

GCF(66584,66588) = 4

We will now calculate the prime factors of 66584 and 66588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66584 and 66588.

How to find the GCF of 66584 and 66588?

We will first find the prime factorization of 66584 and 66588. After we will calculate the factors of 66584 and 66588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66588

Prime factors of 66588 are 2, 3, 31, 179. Prime factorization of 66588 in exponential form is:

66588 = 2² × 3¹ × 31¹ × 179¹

Step-3: Factors of 66584

List of positive integer factors of 66584 that divides 66584 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

Step-4: Factors of 66588

List of positive integer factors of 66588 that divides 66584 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 179, 186, 358, 372, 537, 716, 1074, 2148, 5549, 11098, 16647, 22196, 33294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66584 and 66588. The biggest common factor number is the GCF number.
So the greatest common factor 66584 and 66588 is 4.

Also check out the Least Common Multiple of 66584 and 66588