What is the Greatest Common Factor of 2600 and 2609?

Greatest common factor (GCF) of 2600 and 2609 is 1.

GCF(2600,2609) = 1

We will now calculate the prime factors of 2600 and 2609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2600 and 2609.

How to find the GCF of 2600 and 2609?

We will first find the prime factorization of 2600 and 2609. After we will calculate the factors of 2600 and 2609 and find the biggest common factor number .

Step-1: Prime Factorization of 2600

Prime factors of 2600 are 2, 5, 13. Prime factorization of 2600 in exponential form is:

2600 = 2³ × 5² × 13¹

Step-2: Prime Factorization of 2609

Prime factors of 2609 are 2609. Prime factorization of 2609 in exponential form is:

2609 = 2609¹

Step-3: Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300

Step-4: Factors of 2609

List of positive integer factors of 2609 that divides 2600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2600 and 2609. The biggest common factor number is the GCF number.
So the greatest common factor 2600 and 2609 is 1.

Also check out the Least Common Multiple of 2600 and 2609