What is the Greatest Common Factor of 2610 and 2630?

Greatest common factor (GCF) of 2610 and 2630 is 10.

GCF(2610,2630) = 10

We will now calculate the prime factors of 2610 and 2630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2610 and 2630.

How to find the GCF of 2610 and 2630?

We will first find the prime factorization of 2610 and 2630. After we will calculate the factors of 2610 and 2630 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 2630

Prime factors of 2630 are 2, 5, 263. Prime factorization of 2630 in exponential form is:

2630 = 2¹ × 5¹ × 263¹

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 2630

List of positive integer factors of 2630 that divides 2610 without a remainder.

1, 2, 5, 10, 263, 526, 1315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2610 and 2630. The biggest common factor number is the GCF number.
So the greatest common factor 2610 and 2630 is 10.

Also check out the Least Common Multiple of 2610 and 2630