What is the Greatest Common Factor of 66588 and 66597?

Greatest common factor (GCF) of 66588 and 66597 is 3.

GCF(66588,66597) = 3

We will now calculate the prime factors of 66588 and 66597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66588 and 66597.

How to find the GCF of 66588 and 66597?

We will first find the prime factorization of 66588 and 66597. After we will calculate the factors of 66588 and 66597 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66597

Prime factors of 66597 are 3, 79, 281. Prime factorization of 66597 in exponential form is:

66597 = 3¹ × 79¹ × 281¹

Step-3: Factors of 66588

List of positive integer factors of 66588 that divides 66588 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

Step-4: Factors of 66597

List of positive integer factors of 66597 that divides 66588 without a remainder.

1, 3, 79, 237, 281, 843, 22199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66588 and 66597. The biggest common factor number is the GCF number.
So the greatest common factor 66588 and 66597 is 3.

Also check out the Least Common Multiple of 66588 and 66597