What is the Greatest Common Factor of 98712 and 98727?

Greatest common factor (GCF) of 98712 and 98727 is 3.

GCF(98712,98727) = 3

We will now calculate the prime factors of 98712 and 98727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98712 and 98727.

How to find the GCF of 98712 and 98727?

We will first find the prime factorization of 98712 and 98727. After we will calculate the factors of 98712 and 98727 and find the biggest common factor number .

Step-1: Prime Factorization of 98712

Prime factors of 98712 are 2, 3, 457. Prime factorization of 98712 in exponential form is:

98712 = 2³ × 3³ × 457¹

Step-2: Prime Factorization of 98727

Prime factors of 98727 are 3, 32909. Prime factorization of 98727 in exponential form is:

98727 = 3¹ × 32909¹

Step-3: Factors of 98712

List of positive integer factors of 98712 that divides 98712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 12339, 16452, 24678, 32904, 49356

Step-4: Factors of 98727

List of positive integer factors of 98727 that divides 98712 without a remainder.

1, 3, 32909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98712 and 98727. The biggest common factor number is the GCF number.
So the greatest common factor 98712 and 98727 is 3.

Also check out the Least Common Multiple of 98712 and 98727