What is the Greatest Common Factor of 99169 and 99176?

Greatest common factor (GCF) of 99169 and 99176 is 7.

GCF(99169,99176) = 7

We will now calculate the prime factors of 99169 and 99176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99169 and 99176.

How to find the GCF of 99169 and 99176?

We will first find the prime factorization of 99169 and 99176. After we will calculate the factors of 99169 and 99176 and find the biggest common factor number .

Step-1: Prime Factorization of 99169

Prime factors of 99169 are 7, 31, 457. Prime factorization of 99169 in exponential form is:

99169 = 7¹ × 31¹ × 457¹

Step-2: Prime Factorization of 99176

Prime factors of 99176 are 2, 7, 11, 23. Prime factorization of 99176 in exponential form is:

99176 = 2³ × 7² × 11¹ × 23¹

Step-3: Factors of 99169

List of positive integer factors of 99169 that divides 99169 without a remainder.

1, 7, 31, 217, 457, 3199, 14167

Step-4: Factors of 99176

List of positive integer factors of 99176 that divides 99169 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 23, 28, 44, 46, 49, 56, 77, 88, 92, 98, 154, 161, 184, 196, 253, 308, 322, 392, 506, 539, 616, 644, 1012, 1078, 1127, 1288, 1771, 2024, 2156, 2254, 3542, 4312, 4508, 7084, 9016, 12397, 14168, 24794, 49588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99169 and 99176. The biggest common factor number is the GCF number.
So the greatest common factor 99169 and 99176 is 7.

Also check out the Least Common Multiple of 99169 and 99176