What is the Greatest Common Factor of 2665 and 2678?

Greatest common factor (GCF) of 2665 and 2678 is 13.

GCF(2665,2678) = 13

We will now calculate the prime factors of 2665 and 2678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2665 and 2678.

How to find the GCF of 2665 and 2678?

We will first find the prime factorization of 2665 and 2678. After we will calculate the factors of 2665 and 2678 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 2678

Prime factors of 2678 are 2, 13, 103. Prime factorization of 2678 in exponential form is:

2678 = 2¹ × 13¹ × 103¹

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 2678

List of positive integer factors of 2678 that divides 2665 without a remainder.

1, 2, 13, 26, 103, 206, 1339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2665 and 2678. The biggest common factor number is the GCF number.
So the greatest common factor 2665 and 2678 is 13.

Also check out the Least Common Multiple of 2665 and 2678