What is the Greatest Common Factor of 99150 and 99160?

Greatest common factor (GCF) of 99150 and 99160 is 10.

GCF(99150,99160) = 10

We will now calculate the prime factors of 99150 and 99160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99150 and 99160.

How to find the GCF of 99150 and 99160?

We will first find the prime factorization of 99150 and 99160. After we will calculate the factors of 99150 and 99160 and find the biggest common factor number .

Step-1: Prime Factorization of 99150

Prime factors of 99150 are 2, 3, 5, 661. Prime factorization of 99150 in exponential form is:

99150 = 2¹ × 3¹ × 5² × 661¹

Step-2: Prime Factorization of 99160

Prime factors of 99160 are 2, 5, 37, 67. Prime factorization of 99160 in exponential form is:

99160 = 2³ × 5¹ × 37¹ × 67¹

Step-3: Factors of 99150

List of positive integer factors of 99150 that divides 99150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 661, 1322, 1983, 3305, 3966, 6610, 9915, 16525, 19830, 33050, 49575

Step-4: Factors of 99160

List of positive integer factors of 99160 that divides 99150 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 67, 74, 134, 148, 185, 268, 296, 335, 370, 536, 670, 740, 1340, 1480, 2479, 2680, 4958, 9916, 12395, 19832, 24790, 49580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99150 and 99160. The biggest common factor number is the GCF number.
So the greatest common factor 99150 and 99160 is 10.

Also check out the Least Common Multiple of 99150 and 99160