What is the Greatest Common Factor of 98712 and 98730?

Greatest common factor (GCF) of 98712 and 98730 is 18.

GCF(98712,98730) = 18

We will now calculate the prime factors of 98712 and 98730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98712 and 98730.

How to find the GCF of 98712 and 98730?

We will first find the prime factorization of 98712 and 98730. After we will calculate the factors of 98712 and 98730 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 98730

Prime factors of 98730 are 2, 3, 5, 1097. Prime factorization of 98730 in exponential form is:

98730 = 2¹ × 3² × 5¹ × 1097¹

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 98730

List of positive integer factors of 98730 that divides 98712 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1097, 2194, 3291, 5485, 6582, 9873, 10970, 16455, 19746, 32910, 49365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98712 and 98730. The biggest common factor number is the GCF number.
So the greatest common factor 98712 and 98730 is 18.

Also check out the Least Common Multiple of 98712 and 98730