What is the Greatest Common Factor of 99140 and 99160?

Greatest common factor (GCF) of 99140 and 99160 is 20.

GCF(99140,99160) = 20

We will now calculate the prime factors of 99140 and 99160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99140 and 99160.

How to find the GCF of 99140 and 99160?

We will first find the prime factorization of 99140 and 99160. After we will calculate the factors of 99140 and 99160 and find the biggest common factor number .

Step-1: Prime Factorization of 99140

Prime factors of 99140 are 2, 5, 4957. Prime factorization of 99140 in exponential form is:

99140 = 2² × 5¹ × 4957¹

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 99140

List of positive integer factors of 99140 that divides 99140 without a remainder.

1, 2, 4, 5, 10, 20, 4957, 9914, 19828, 24785, 49570

Step-4: Factors of 99160

List of positive integer factors of 99160 that divides 99140 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 99140 and 99160. The biggest common factor number is the GCF number.
So the greatest common factor 99140 and 99160 is 20.

Also check out the Least Common Multiple of 99140 and 99160