Greatest Common Factor of 7540 and 7544

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 7540, 7544 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7540 and 7544 is 4.

GCF(7540,7544) = 4

GCF of 7540 and 7544

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

GCF of:
and

Greatest Common Factor of 7540 and 7544

GCF of 7540 and 7544 is 4

Prime Factorization of 7540


2 7540
2 3770
5 1885
13 377
29 29
1

Prime factors of 7540 are 2,5,13,29. Prime factorization of 7540 in exponential form is:

7540 = 22×51×131×291

Prime Factorization of 7544


2 7544
2 3772
2 1886
23 943
41 41
1

Prime factors of 7544 are 2,23,41. Prime factorization of 7544 in exponential form is:

7544 = 23×231×411

∴ So by taking common prime factors GCF of 7540 and 7544 is 4

Greatest Common Factor of 7540 and 7544 by matching factors method

Factors of 7540

List of positive integer factors of 7540 that divides 7540 without a remainder.

1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540

Factors of 7544

List of positive integer factors of 7544 that divides 7544 without a remainder.

1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544

Greatest Common Factor

We found the factors and prime factorization of 7540 and 7544. The biggest common factor number is the GCF number.
So the greatest common factor 7540 and 7544 is 4.

Also check out the Least Common Multiple of 7540 and 7544

Properties of GCF 7540 and 7544

(i) The GCF of 7540 and 7544 is associative

GCF of 7540 and 7544 = GCF of 7544 and 7540

Related Greatest Common Factor of 7540

Related Greatest Common Factor of 7544

Frequently Asked Questions on GCF of 7540 and 7544

1. What is the GCF of 7540 and 7544?

Answer: GCF of 7540 and 7544 is 4.

2. What are the Factors of 7540?

Answer: Factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540. There are 24 integers that are factors of 7540. The greatest factor of 7540 is 7540.

3. What are the Factors of 7544?

Answer: Factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544. There are 16 integers that are factors of 7544. The greatest factor of 7544 is 7544.

4. How to Find the GCF of 7540 and 7544?

Answer:

Greatest Common Factor of 7540 and 7544 = 4

Step 1: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

Step 2: Find the prime factorization of 7544

7544 = 2 x 2 x 2 x 23 x 41

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7540 and 7544 is 4