Greatest Common Factor of 7518 and 7526

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 7518, 7526 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7518 and 7526 is 2.

GCF(7518,7526) = 2

GCF of 7518 and 7526

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

GCF of:
and

Greatest Common Factor of 7518 and 7526

GCF of 7518 and 7526 is 2

Prime Factorization of 7518


2 7518
3 3759
7 1253
179 179
1

Prime factors of 7518 are 2,3,7,179. Prime factorization of 7518 in exponential form is:

7518 = 21×31×71×1791

Prime Factorization of 7526


2 7526
53 3763
71 71
1

Prime factors of 7526 are 2,53,71. Prime factorization of 7526 in exponential form is:

7526 = 21×531×711

∴ So by taking common prime factors GCF of 7518 and 7526 is 2

Greatest Common Factor of 7518 and 7526 by matching factors method

Factors of 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518

Factors of 7526

List of positive integer factors of 7526 that divides 7526 without a remainder.

1,2,53,71,106,142,3763,7526

Greatest Common Factor

We found the factors and prime factorization of 7518 and 7526. The biggest common factor number is the GCF number.
So the greatest common factor 7518 and 7526 is 2.

Also check out the Least Common Multiple of 7518 and 7526

Properties of GCF 7518 and 7526

(i) The GCF of 7518 and 7526 is associative

GCF of 7518 and 7526 = GCF of 7526 and 7518

Related Greatest Common Factor of 7518

Related Greatest Common Factor of 7526

Frequently Asked Questions on GCF of 7518 and 7526

1. What is the GCF of 7518 and 7526?

Answer: GCF of 7518 and 7526 is 2.

2. What are the Factors of 7518?

Answer: Factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518. There are 16 integers that are factors of 7518. The greatest factor of 7518 is 7518.

3. What are the Factors of 7526?

Answer: Factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526. There are 8 integers that are factors of 7526. The greatest factor of 7526 is 7526.

4. How to Find the GCF of 7518 and 7526?

Answer:

Greatest Common Factor of 7518 and 7526 = 2

Step 1: Find the prime factorization of 7518

7518 = 2 x 3 x 7 x 179

Step 2: Find the prime factorization of 7526

7526 = 2 x 53 x 71

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 7518 and 7526 is 2