What is the Greatest Common Factor of 2610 and 2615?

Greatest common factor (GCF) of 2610 and 2615 is 5.

GCF(2610,2615) = 5

We will now calculate the prime factors of 2610 and 2615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2610 and 2615.

How to find the GCF of 2610 and 2615?

We will first find the prime factorization of 2610 and 2615. After we will calculate the factors of 2610 and 2615 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2615

Prime factors of 2615 are 5, 523. Prime factorization of 2615 in exponential form is:

2615 = 5¹ × 523¹

Step-3: Factors of 2610

List of positive integer factors of 2610 that divides 2610 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

Step-4: Factors of 2615

List of positive integer factors of 2615 that divides 2610 without a remainder.

1, 5, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2610 and 2615. The biggest common factor number is the GCF number.
So the greatest common factor 2610 and 2615 is 5.

Also check out the Least Common Multiple of 2610 and 2615