What is the Greatest Common Factor of 66574 and 66588?

Greatest common factor (GCF) of 66574 and 66588 is 2.

GCF(66574,66588) = 2

We will now calculate the prime factors of 66574 and 66588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66574 and 66588.

How to find the GCF of 66574 and 66588?

We will first find the prime factorization of 66574 and 66588. After we will calculate the factors of 66574 and 66588 and find the biggest common factor number .

Step-1: Prime Factorization of 66574

Prime factors of 66574 are 2, 33287. Prime factorization of 66574 in exponential form is:

66574 = 2¹ × 33287¹

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 66574

List of positive integer factors of 66574 that divides 66574 without a remainder.

1, 2, 33287

Step-4: Factors of 66588

List of positive integer factors of 66588 that divides 66574 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 66574 and 66588. The biggest common factor number is the GCF number.
So the greatest common factor 66574 and 66588 is 2.

Also check out the Least Common Multiple of 66574 and 66588