What is the Greatest Common Factor of 2149 and 2156?

Greatest common factor (GCF) of 2149 and 2156 is 7.

GCF(2149,2156) = 7

We will now calculate the prime factors of 2149 and 2156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2149 and 2156.

How to find the GCF of 2149 and 2156?

We will first find the prime factorization of 2149 and 2156. After we will calculate the factors of 2149 and 2156 and find the biggest common factor number .

Step-1: Prime Factorization of 2149

Prime factors of 2149 are 7, 307. Prime factorization of 2149 in exponential form is:

2149 = 7¹ × 307¹

Step-2: Prime Factorization of 2156

Prime factors of 2156 are 2, 7, 11. Prime factorization of 2156 in exponential form is:

2156 = 2² × 7² × 11¹

Step-3: Factors of 2149

List of positive integer factors of 2149 that divides 2149 without a remainder.

1, 7, 307

Step-4: Factors of 2156

List of positive integer factors of 2156 that divides 2149 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2149 and 2156. The biggest common factor number is the GCF number.
So the greatest common factor 2149 and 2156 is 7.

Also check out the Least Common Multiple of 2149 and 2156