What is the Greatest Common Factor of 12160 and 12176?

Greatest common factor (GCF) of 12160 and 12176 is 16.

GCF(12160,12176) = 16

We will now calculate the prime factors of 12160 and 12176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12160 and 12176.

How to find the GCF of 12160 and 12176?

We will first find the prime factorization of 12160 and 12176. After we will calculate the factors of 12160 and 12176 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 12176

Prime factors of 12176 are 2, 761. Prime factorization of 12176 in exponential form is:

12176 = 2⁴ × 761¹

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 12176

List of positive integer factors of 12176 that divides 12160 without a remainder.

1, 2, 4, 8, 16, 761, 1522, 3044, 6088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12160 and 12176. The biggest common factor number is the GCF number.
So the greatest common factor 12160 and 12176 is 16.

Also check out the Least Common Multiple of 12160 and 12176