What is the Greatest Common Factor of 99160 and 99172?

Greatest common factor (GCF) of 99160 and 99172 is 4.

GCF(99160,99172) = 4

We will now calculate the prime factors of 99160 and 99172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99160 and 99172.

How to find the GCF of 99160 and 99172?

We will first find the prime factorization of 99160 and 99172. After we will calculate the factors of 99160 and 99172 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99172

Prime factors of 99172 are 2, 24793. Prime factorization of 99172 in exponential form is:

99172 = 2² × 24793¹

Step-3: Factors of 99160

List of positive integer factors of 99160 that divides 99160 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

Step-4: Factors of 99172

List of positive integer factors of 99172 that divides 99160 without a remainder.

1, 2, 4, 24793, 49586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99160 and 99172. The biggest common factor number is the GCF number.
So the greatest common factor 99160 and 99172 is 4.

Also check out the Least Common Multiple of 99160 and 99172