What is the Greatest Common Factor of 99358 and 99365?

Greatest common factor (GCF) of 99358 and 99365 is 7.

GCF(99358,99365) = 7

We will now calculate the prime factors of 99358 and 99365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99358 and 99365.

How to find the GCF of 99358 and 99365?

We will first find the prime factorization of 99358 and 99365. After we will calculate the factors of 99358 and 99365 and find the biggest common factor number .

Step-1: Prime Factorization of 99358

Prime factors of 99358 are 2, 7, 47, 151. Prime factorization of 99358 in exponential form is:

99358 = 2¹ × 7¹ × 47¹ × 151¹

Step-2: Prime Factorization of 99365

Prime factors of 99365 are 5, 7, 17, 167. Prime factorization of 99365 in exponential form is:

99365 = 5¹ × 7¹ × 17¹ × 167¹

Step-3: Factors of 99358

List of positive integer factors of 99358 that divides 99358 without a remainder.

1, 2, 7, 14, 47, 94, 151, 302, 329, 658, 1057, 2114, 7097, 14194, 49679

Step-4: Factors of 99365

List of positive integer factors of 99365 that divides 99358 without a remainder.

1, 5, 7, 17, 35, 85, 119, 167, 595, 835, 1169, 2839, 5845, 14195, 19873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99358 and 99365. The biggest common factor number is the GCF number.
So the greatest common factor 99358 and 99365 is 7.

Also check out the Least Common Multiple of 99358 and 99365