What is the Greatest Common Factor of 2654 and 2674?

Greatest common factor (GCF) of 2654 and 2674 is 2.

GCF(2654,2674) = 2

We will now calculate the prime factors of 2654 and 2674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2654 and 2674.

How to find the GCF of 2654 and 2674?

We will first find the prime factorization of 2654 and 2674. After we will calculate the factors of 2654 and 2674 and find the biggest common factor number .

Step-1: Prime Factorization of 2654

Prime factors of 2654 are 2, 1327. Prime factorization of 2654 in exponential form is:

2654 = 2¹ × 1327¹

Step-2: Prime Factorization of 2674

Prime factors of 2674 are 2, 7, 191. Prime factorization of 2674 in exponential form is:

2674 = 2¹ × 7¹ × 191¹

Step-3: Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1, 2, 1327

Step-4: Factors of 2674

List of positive integer factors of 2674 that divides 2654 without a remainder.

1, 2, 7, 14, 191, 382, 1337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2654 and 2674. The biggest common factor number is the GCF number.
So the greatest common factor 2654 and 2674 is 2.

Also check out the Least Common Multiple of 2654 and 2674