What is the Greatest Common Factor of 2680 and 2690?

Greatest common factor (GCF) of 2680 and 2690 is 10.

GCF(2680,2690) = 10

We will now calculate the prime factors of 2680 and 2690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2680 and 2690.

How to find the GCF of 2680 and 2690?

We will first find the prime factorization of 2680 and 2690. After we will calculate the factors of 2680 and 2690 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 2690

Prime factors of 2690 are 2, 5, 269. Prime factorization of 2690 in exponential form is:

2690 = 2¹ × 5¹ × 269¹

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 2690

List of positive integer factors of 2690 that divides 2680 without a remainder.

1, 2, 5, 10, 269, 538, 1345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2680 and 2690. The biggest common factor number is the GCF number.
So the greatest common factor 2680 and 2690 is 10.

Also check out the Least Common Multiple of 2680 and 2690