What is the Greatest Common Factor of 12160 and 12179?

Greatest common factor (GCF) of 12160 and 12179 is 19.

GCF(12160,12179) = 19

We will now calculate the prime factors of 12160 and 12179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12160 and 12179.

How to find the GCF of 12160 and 12179?

We will first find the prime factorization of 12160 and 12179. After we will calculate the factors of 12160 and 12179 and find the biggest common factor number .

Step-1: Prime Factorization of 12160

Prime factors of 12160 are 2, 5, 19. Prime factorization of 12160 in exponential form is:

12160 = 2⁷ × 5¹ × 19¹

Step-2: Prime Factorization of 12179

Prime factors of 12179 are 19, 641. Prime factorization of 12179 in exponential form is:

12179 = 19¹ × 641¹

Step-3: Factors of 12160

List of positive integer factors of 12160 that divides 12160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 128, 152, 160, 190, 304, 320, 380, 608, 640, 760, 1216, 1520, 2432, 3040, 6080

Step-4: Factors of 12179

List of positive integer factors of 12179 that divides 12160 without a remainder.

1, 19, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12160 and 12179. The biggest common factor number is the GCF number.
So the greatest common factor 12160 and 12179 is 19.

Also check out the Least Common Multiple of 12160 and 12179