What is the Greatest Common Factor of 2600 and 2610?

Greatest common factor (GCF) of 2600 and 2610 is 10.

GCF(2600,2610) = 10

We will now calculate the prime factors of 2600 and 2610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2600 and 2610.

How to find the GCF of 2600 and 2610?

We will first find the prime factorization of 2600 and 2610. After we will calculate the factors of 2600 and 2610 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 2610

Prime factors of 2610 are 2, 3, 5, 29. Prime factorization of 2610 in exponential form is:

2610 = 2¹ × 3² × 5¹ × 29¹

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 2610

List of positive integer factors of 2610 that divides 2600 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2600 and 2610. The biggest common factor number is the GCF number.
So the greatest common factor 2600 and 2610 is 10.

Also check out the Least Common Multiple of 2600 and 2610