Greatest Common Factor of 2618 and 2624

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 2618, 2624 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2618 and 2624 is 2.

GCF(2618,2624) = 2

GCF of 2618 and 2624

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

GCF of:
and

Greatest Common Factor of 2618 and 2624

GCF of 2618 and 2624 is 2

Prime Factorization of 2618


2 2618
7 1309
11 187
17 17
1

Prime factors of 2618 are 2,7,11,17. Prime factorization of 2618 in exponential form is:

2618 = 21×71×111×171

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

∴ So by taking common prime factors GCF of 2618 and 2624 is 2

Greatest Common Factor of 2618 and 2624 by matching factors method

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

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

Greatest Common Factor

We found the factors and prime factorization of 2618 and 2624. The biggest common factor number is the GCF number.
So the greatest common factor 2618 and 2624 is 2.

Also check out the Least Common Multiple of 2618 and 2624

Properties of GCF 2618 and 2624

(i) The GCF of 2618 and 2624 is associative

GCF of 2618 and 2624 = GCF of 2624 and 2618

Related Greatest Common Factor of 2618

Related Greatest Common Factor of 2624

Frequently Asked Questions on GCF of 2618 and 2624

1. What is the GCF of 2618 and 2624?

Answer: GCF of 2618 and 2624 is 2.

2. What are the Factors of 2618?

Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.

3. 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.

4. How to Find the GCF of 2618 and 2624?

Answer:

Greatest Common Factor of 2618 and 2624 = 2

Step 1: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 2: Find the prime factorization of 2624

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

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 2618 and 2624 is 2