What is the Greatest Common Factor of 99160 and 99164?

Greatest common factor (GCF) of 99160 and 99164 is 4.

GCF(99160,99164) = 4

We will now calculate the prime factors of 99160 and 99164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99160 and 99164.

How to find the GCF of 99160 and 99164?

We will first find the prime factorization of 99160 and 99164. After we will calculate the factors of 99160 and 99164 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 99164

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

99164 = 2² × 13¹ × 1907¹

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 99164

List of positive integer factors of 99164 that divides 99160 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99160 and 99164. The biggest common factor number is the GCF number.
So the greatest common factor 99160 and 99164 is 4.

Also check out the Least Common Multiple of 99160 and 99164