What is the Greatest Common Factor of 2645 and 2665?

Greatest common factor (GCF) of 2645 and 2665 is 5.

GCF(2645,2665) = 5

We will now calculate the prime factors of 2645 and 2665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2645 and 2665.

How to find the GCF of 2645 and 2665?

We will first find the prime factorization of 2645 and 2665. After we will calculate the factors of 2645 and 2665 and find the biggest common factor number .

Step-1: Prime Factorization of 2645

Prime factors of 2645 are 5, 23. Prime factorization of 2645 in exponential form is:

2645 = 5¹ × 23²

Step-2: 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-3: Factors of 2645

List of positive integer factors of 2645 that divides 2645 without a remainder.

1, 5, 23, 115, 529

Step-4: Factors of 2665

List of positive integer factors of 2665 that divides 2645 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2645 and 2665. The biggest common factor number is the GCF number.
So the greatest common factor 2645 and 2665 is 5.

Also check out the Least Common Multiple of 2645 and 2665