What is the Greatest Common Factor of 2176 and 2196?

Greatest common factor (GCF) of 2176 and 2196 is 4.

GCF(2176,2196) = 4

We will now calculate the prime factors of 2176 and 2196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2176 and 2196.

How to find the GCF of 2176 and 2196?

We will first find the prime factorization of 2176 and 2196. After we will calculate the factors of 2176 and 2196 and find the biggest common factor number .

Step-1: Prime Factorization of 2176

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

2176 = 2⁷ × 17¹

Step-2: Prime Factorization of 2196

Prime factors of 2196 are 2, 3, 61. Prime factorization of 2196 in exponential form is:

2196 = 2² × 3² × 61¹

Step-3: Factors of 2176

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

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

Step-4: Factors of 2196

List of positive integer factors of 2196 that divides 2176 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2176 and 2196. The biggest common factor number is the GCF number.
So the greatest common factor 2176 and 2196 is 4.

Also check out the Least Common Multiple of 2176 and 2196