What is the Greatest Common Factor of 2665 and 2680?

Greatest common factor (GCF) of 2665 and 2680 is 5.

GCF(2665,2680) = 5

We will now calculate the prime factors of 2665 and 2680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2665 and 2680.

How to find the GCF of 2665 and 2680?

We will first find the prime factorization of 2665 and 2680. After we will calculate the factors of 2665 and 2680 and find the biggest common factor number .

Step-1: Prime Factorization of 2665

Prime factors of 2665 are 5, 13, 41. Prime factorization of 2665 in exponential form is:

2665 = 5¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 2665

List of positive integer factors of 2665 that divides 2665 without a remainder.

1, 5, 13, 41, 65, 205, 533

Step-4: Factors of 2680

List of positive integer factors of 2680 that divides 2665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2665 and 2680. The biggest common factor number is the GCF number.
So the greatest common factor 2665 and 2680 is 5.

Also check out the Least Common Multiple of 2665 and 2680