What is the Greatest Common Factor of 2164 and 2176?

Greatest common factor (GCF) of 2164 and 2176 is 4.

GCF(2164,2176) = 4

We will now calculate the prime factors of 2164 and 2176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2164 and 2176.

How to find the GCF of 2164 and 2176?

We will first find the prime factorization of 2164 and 2176. After we will calculate the factors of 2164 and 2176 and find the biggest common factor number .

Step-1: Prime Factorization of 2164

Prime factors of 2164 are 2, 541. Prime factorization of 2164 in exponential form is:

2164 = 2² × 541¹

Step-2: Prime Factorization of 2176

Prime factors of 2176 are 2, 17. Prime factorization of 2176 in exponential form is:

2176 = 2⁷ × 17¹

Step-3: Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082

Step-4: Factors of 2176

List of positive integer factors of 2176 that divides 2164 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2164 and 2176. The biggest common factor number is the GCF number.
So the greatest common factor 2164 and 2176 is 4.

Also check out the Least Common Multiple of 2164 and 2176