What is the Greatest Common Factor of 99296 and 99316?

Greatest common factor (GCF) of 99296 and 99316 is 4.

GCF(99296,99316) = 4

We will now calculate the prime factors of 99296 and 99316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99296 and 99316.

How to find the GCF of 99296 and 99316?

We will first find the prime factorization of 99296 and 99316. After we will calculate the factors of 99296 and 99316 and find the biggest common factor number .

Step-1: Prime Factorization of 99296

Prime factors of 99296 are 2, 29, 107. Prime factorization of 99296 in exponential form is:

99296 = 2⁵ × 29¹ × 107¹

Step-2: 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-3: Factors of 99296

List of positive integer factors of 99296 that divides 99296 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 107, 116, 214, 232, 428, 464, 856, 928, 1712, 3103, 3424, 6206, 12412, 24824, 49648

Step-4: Factors of 99316

List of positive integer factors of 99316 that divides 99296 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99296 and 99316. The biggest common factor number is the GCF number.
So the greatest common factor 99296 and 99316 is 4.

Also check out the Least Common Multiple of 99296 and 99316