What is the Greatest Common Factor of 2680 and 2699?

Greatest common factor (GCF) of 2680 and 2699 is 1.

GCF(2680,2699) = 1

We will now calculate the prime factors of 2680 and 2699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2680 and 2699.

How to find the GCF of 2680 and 2699?

We will first find the prime factorization of 2680 and 2699. After we will calculate the factors of 2680 and 2699 and find the biggest common factor number .

Step-1: Prime Factorization of 2680

Prime factors of 2680 are 2, 5, 67. Prime factorization of 2680 in exponential form is:

2680 = 2³ × 5¹ × 67¹

Step-2: Prime Factorization of 2699

Prime factors of 2699 are 2699. Prime factorization of 2699 in exponential form is:

2699 = 2699¹

Step-3: Factors of 2680

List of positive integer factors of 2680 that divides 2680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340

Step-4: Factors of 2699

List of positive integer factors of 2699 that divides 2680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2680 and 2699. The biggest common factor number is the GCF number.
So the greatest common factor 2680 and 2699 is 1.

Also check out the Least Common Multiple of 2680 and 2699