What is the Greatest Common Factor of 98652 and 98664?

Greatest common factor (GCF) of 98652 and 98664 is 12.

GCF(98652,98664) = 12

We will now calculate the prime factors of 98652 and 98664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98652 and 98664.

How to find the GCF of 98652 and 98664?

We will first find the prime factorization of 98652 and 98664. After we will calculate the factors of 98652 and 98664 and find the biggest common factor number .

Step-1: Prime Factorization of 98652

Prime factors of 98652 are 2, 3, 8221. Prime factorization of 98652 in exponential form is:

98652 = 2² × 3¹ × 8221¹

Step-2: Prime Factorization of 98664

Prime factors of 98664 are 2, 3, 4111. Prime factorization of 98664 in exponential form is:

98664 = 2³ × 3¹ × 4111¹

Step-3: Factors of 98652

List of positive integer factors of 98652 that divides 98652 without a remainder.

1, 2, 3, 4, 6, 12, 8221, 16442, 24663, 32884, 49326

Step-4: Factors of 98664

List of positive integer factors of 98664 that divides 98652 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4111, 8222, 12333, 16444, 24666, 32888, 49332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98652 and 98664. The biggest common factor number is the GCF number.
So the greatest common factor 98652 and 98664 is 12.

Also check out the Least Common Multiple of 98652 and 98664