Greatest Common Factor of 2624 and 2630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2624, 2630 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2624 and 2630 is 2.

GCF(2624,2630) = 2

GCF of 2624 and 2630

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2624 and 2630

GCF of 2624 and 2630 is 2

Prime Factorization of 2624


2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 2624 are 2,41. Prime factorization of 2624 in exponential form is:

2624 = 26×411

Prime Factorization of 2630


2 2630
5 1315
263 263
1

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

2630 = 21×51×2631

∴ So by taking common prime factors GCF of 2624 and 2630 is 2

Greatest Common Factor of 2624 and 2630 by matching factors method

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1,2,4,8,16,32,41,64,82,164,328,656,1312,2624

Factors of 2630

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

1,2,5,10,263,526,1315,2630

Greatest Common Factor

We found the factors and prime factorization of 2624 and 2630. The biggest common factor number is the GCF number.
So the greatest common factor 2624 and 2630 is 2.

Also check out the Least Common Multiple of 2624 and 2630

Properties of GCF 2624 and 2630

(i) The GCF of 2624 and 2630 is associative

GCF of 2624 and 2630 = GCF of 2630 and 2624

Related Greatest Common Factor of 2624

Related Greatest Common Factor of 2630

Frequently Asked Questions on GCF of 2624 and 2630

1. What is the GCF of 2624 and 2630?

Answer: GCF of 2624 and 2630 is 2.

2. What are the Factors of 2624?

Answer: Factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624. There are 14 integers that are factors of 2624. The greatest factor of 2624 is 2624.

3. What are the Factors of 2630?

Answer: Factors of 2630 are 1, 2, 5, 10, 263, 526, 1315, 2630. There are 8 integers that are factors of 2630. The greatest factor of 2630 is 2630.

4. How to Find the GCF of 2624 and 2630?

Answer:

Greatest Common Factor of 2624 and 2630 = 2

Step 1: Find the prime factorization of 2624

2624 = 2 x 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 2630

2630 = 2 x 5 x 263

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2624 and 2630 is 2