What is the Greatest Common Factor of 98316 and 98334?

Greatest common factor (GCF) of 98316 and 98334 is 18.

GCF(98316,98334) = 18

We will now calculate the prime factors of 98316 and 98334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98316 and 98334.

How to find the GCF of 98316 and 98334?

We will first find the prime factorization of 98316 and 98334. After we will calculate the factors of 98316 and 98334 and find the biggest common factor number .

Step-1: Prime Factorization of 98316

Prime factors of 98316 are 2, 3, 2731. Prime factorization of 98316 in exponential form is:

98316 = 2² × 3² × 2731¹

Step-2: Prime Factorization of 98334

Prime factors of 98334 are 2, 3, 607. Prime factorization of 98334 in exponential form is:

98334 = 2¹ × 3⁴ × 607¹

Step-3: Factors of 98316

List of positive integer factors of 98316 that divides 98316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2731, 5462, 8193, 10924, 16386, 24579, 32772, 49158

Step-4: Factors of 98334

List of positive integer factors of 98334 that divides 98316 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 607, 1214, 1821, 3642, 5463, 10926, 16389, 32778, 49167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98316 and 98334. The biggest common factor number is the GCF number.
So the greatest common factor 98316 and 98334 is 18.

Also check out the Least Common Multiple of 98316 and 98334