What is the Greatest Common Factor of 12172 and 12176?

Greatest common factor (GCF) of 12172 and 12176 is 4.

GCF(12172,12176) = 4

We will now calculate the prime factors of 12172 and 12176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12172 and 12176.

How to find the GCF of 12172 and 12176?

We will first find the prime factorization of 12172 and 12176. After we will calculate the factors of 12172 and 12176 and find the biggest common factor number .

Step-1: Prime Factorization of 12172

Prime factors of 12172 are 2, 17, 179. Prime factorization of 12172 in exponential form is:

12172 = 2² × 17¹ × 179¹

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 12172

List of positive integer factors of 12172 that divides 12172 without a remainder.

1, 2, 4, 17, 34, 68, 179, 358, 716, 3043, 6086

Step-4: Factors of 12176

List of positive integer factors of 12176 that divides 12172 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 12172 and 12176. The biggest common factor number is the GCF number.
So the greatest common factor 12172 and 12176 is 4.

Also check out the Least Common Multiple of 12172 and 12176