Greatest Common Factor of 2618 and 2625

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, 2625 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2618 and 2625 is 7.

GCF(2618,2625) = 7

GCF of 2618 and 2625

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

GCF of:
and

Greatest Common Factor of 2618 and 2625

GCF of 2618 and 2625 is 7

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 2625


3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 2625 are 3,5,7. Prime factorization of 2625 in exponential form is:

2625 = 31×53×71

∴ So by taking common prime factors GCF of 2618 and 2625 is 7

Greatest Common Factor of 2618 and 2625 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 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625

Greatest Common Factor

We found the factors and prime factorization of 2618 and 2625. The biggest common factor number is the GCF number.
So the greatest common factor 2618 and 2625 is 7.

Also check out the Least Common Multiple of 2618 and 2625

Properties of GCF 2618 and 2625

(i) The GCF of 2618 and 2625 is associative

GCF of 2618 and 2625 = GCF of 2625 and 2618

Related Greatest Common Factor of 2618

Related Greatest Common Factor of 2625

Frequently Asked Questions on GCF of 2618 and 2625

1. What is the GCF of 2618 and 2625?

Answer: GCF of 2618 and 2625 is 7.

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 2625?

Answer: Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625. There are 16 integers that are factors of 2625. The greatest factor of 2625 is 2625.

4. How to Find the GCF of 2618 and 2625?

Answer:

Greatest Common Factor of 2618 and 2625 = 7

Step 1: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 2: Find the prime factorization of 2625

2625 = 3 x 5 x 5 x 5 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2618 and 2625 is 7