What is the Greatest Common Factor of 88659 and 88674?

Greatest common factor (GCF) of 88659 and 88674 is 3.

GCF(88659,88674) = 3

We will now calculate the prime factors of 88659 and 88674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88659 and 88674.

How to find the GCF of 88659 and 88674?

We will first find the prime factorization of 88659 and 88674. After we will calculate the factors of 88659 and 88674 and find the biggest common factor number .

Step-1: Prime Factorization of 88659

Prime factors of 88659 are 3, 9851. Prime factorization of 88659 in exponential form is:

88659 = 3² × 9851¹

Step-2: Prime Factorization of 88674

Prime factors of 88674 are 2, 3, 14779. Prime factorization of 88674 in exponential form is:

88674 = 2¹ × 3¹ × 14779¹

Step-3: Factors of 88659

List of positive integer factors of 88659 that divides 88659 without a remainder.

1, 3, 9, 9851, 29553

Step-4: Factors of 88674

List of positive integer factors of 88674 that divides 88659 without a remainder.

1, 2, 3, 6, 14779, 29558, 44337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88659 and 88674. The biggest common factor number is the GCF number.
So the greatest common factor 88659 and 88674 is 3.

Also check out the Least Common Multiple of 88659 and 88674