What is the Greatest Common Factor of 99164 and 99177?

Greatest common factor (GCF) of 99164 and 99177 is 13.

GCF(99164,99177) = 13

We will now calculate the prime factors of 99164 and 99177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99164 and 99177.

How to find the GCF of 99164 and 99177?

We will first find the prime factorization of 99164 and 99177. After we will calculate the factors of 99164 and 99177 and find the biggest common factor number .

Step-1: Prime Factorization of 99164

Prime factors of 99164 are 2, 13, 1907. Prime factorization of 99164 in exponential form is:

99164 = 2² × 13¹ × 1907¹

Step-2: Prime Factorization of 99177

Prime factors of 99177 are 3, 13, 2543. Prime factorization of 99177 in exponential form is:

99177 = 3¹ × 13¹ × 2543¹

Step-3: Factors of 99164

List of positive integer factors of 99164 that divides 99164 without a remainder.

1, 2, 4, 13, 26, 52, 1907, 3814, 7628, 24791, 49582

Step-4: Factors of 99177

List of positive integer factors of 99177 that divides 99164 without a remainder.

1, 3, 13, 39, 2543, 7629, 33059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99164 and 99177. The biggest common factor number is the GCF number.
So the greatest common factor 99164 and 99177 is 13.

Also check out the Least Common Multiple of 99164 and 99177