What is the Greatest Common Factor of 2656 and 2669?

Greatest common factor (GCF) of 2656 and 2669 is 1.

GCF(2656,2669) = 1

We will now calculate the prime factors of 2656 and 2669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2656 and 2669.

How to find the GCF of 2656 and 2669?

We will first find the prime factorization of 2656 and 2669. After we will calculate the factors of 2656 and 2669 and find the biggest common factor number .

Step-1: Prime Factorization of 2656

Prime factors of 2656 are 2, 83. Prime factorization of 2656 in exponential form is:

2656 = 2⁵ × 83¹

Step-2: Prime Factorization of 2669

Prime factors of 2669 are 17, 157. Prime factorization of 2669 in exponential form is:

2669 = 17¹ × 157¹

Step-3: Factors of 2656

List of positive integer factors of 2656 that divides 2656 without a remainder.

1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328

Step-4: Factors of 2669

List of positive integer factors of 2669 that divides 2656 without a remainder.

1, 17, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2656 and 2669. The biggest common factor number is the GCF number.
So the greatest common factor 2656 and 2669 is 1.

Also check out the Least Common Multiple of 2656 and 2669