What is the Greatest Common Factor of 2674 and 2689?

Greatest common factor (GCF) of 2674 and 2689 is 1.

GCF(2674,2689) = 1

We will now calculate the prime factors of 2674 and 2689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2674 and 2689.

How to find the GCF of 2674 and 2689?

We will first find the prime factorization of 2674 and 2689. After we will calculate the factors of 2674 and 2689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2689

Prime factors of 2689 are 2689. Prime factorization of 2689 in exponential form is:

2689 = 2689¹

Step-3: Factors of 2674

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

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

Step-4: Factors of 2689

List of positive integer factors of 2689 that divides 2674 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2674 and 2689. The biggest common factor number is the GCF number.
So the greatest common factor 2674 and 2689 is 1.

Also check out the Least Common Multiple of 2674 and 2689