What is the Greatest Common Factor of 14164 and 14176?

Greatest common factor (GCF) of 14164 and 14176 is 4.

GCF(14164,14176) = 4

We will now calculate the prime factors of 14164 and 14176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14164 and 14176.

How to find the GCF of 14164 and 14176?

We will first find the prime factorization of 14164 and 14176. After we will calculate the factors of 14164 and 14176 and find the biggest common factor number .

Step-1: Prime Factorization of 14164

Prime factors of 14164 are 2, 3541. Prime factorization of 14164 in exponential form is:

14164 = 2² × 3541¹

Step-2: Prime Factorization of 14176

Prime factors of 14176 are 2, 443. Prime factorization of 14176 in exponential form is:

14176 = 2⁵ × 443¹

Step-3: Factors of 14164

List of positive integer factors of 14164 that divides 14164 without a remainder.

1, 2, 4, 3541, 7082

Step-4: Factors of 14176

List of positive integer factors of 14176 that divides 14164 without a remainder.

1, 2, 4, 8, 16, 32, 443, 886, 1772, 3544, 7088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14164 and 14176. The biggest common factor number is the GCF number.
So the greatest common factor 14164 and 14176 is 4.

Also check out the Least Common Multiple of 14164 and 14176