What is the Greatest Common Factor of 99316 and 99334?

Greatest common factor (GCF) of 99316 and 99334 is 2.

GCF(99316,99334) = 2

We will now calculate the prime factors of 99316 and 99334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99316 and 99334.

How to find the GCF of 99316 and 99334?

We will first find the prime factorization of 99316 and 99334. After we will calculate the factors of 99316 and 99334 and find the biggest common factor number .

Step-1: Prime Factorization of 99316

Prime factors of 99316 are 2, 7, 3547. Prime factorization of 99316 in exponential form is:

99316 = 2² × 7¹ × 3547¹

Step-2: Prime Factorization of 99334

Prime factors of 99334 are 2, 49667. Prime factorization of 99334 in exponential form is:

99334 = 2¹ × 49667¹

Step-3: Factors of 99316

List of positive integer factors of 99316 that divides 99316 without a remainder.

1, 2, 4, 7, 14, 28, 3547, 7094, 14188, 24829, 49658

Step-4: Factors of 99334

List of positive integer factors of 99334 that divides 99316 without a remainder.

1, 2, 49667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99316 and 99334. The biggest common factor number is the GCF number.
So the greatest common factor 99316 and 99334 is 2.

Also check out the Least Common Multiple of 99316 and 99334