Greatest Common Factor of 7539 and 7540

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 7539, 7540 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7539 and 7540 is 1.

GCF(7539,7540) = 1

GCF of 7539 and 7540

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

GCF of:
and

Greatest Common Factor of 7539 and 7540

GCF of 7539 and 7540 is 1

Prime Factorization of 7539


3 7539
7 2513
359 359
1

Prime factors of 7539 are 3,7,359. Prime factorization of 7539 in exponential form is:

7539 = 31×71×3591

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

∴ So by taking common prime factors GCF of 7539 and 7540 is 1

Greatest Common Factor of 7539 and 7540 by matching factors method

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

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

Greatest Common Factor

We found the factors and prime factorization of 7539 and 7540. The biggest common factor number is the GCF number.
So the greatest common factor 7539 and 7540 is 1.

Also check out the Least Common Multiple of 7539 and 7540

Properties of GCF 7539 and 7540

(i) The GCF of 7539 and 7540 is associative

GCF of 7539 and 7540 = GCF of 7540 and 7539

Related Greatest Common Factor of 7539

Related Greatest Common Factor of 7540

Frequently Asked Questions on GCF of 7539 and 7540

1. What is the GCF of 7539 and 7540?

Answer: GCF of 7539 and 7540 is 1.

2. What are the Factors of 7539?

Answer: Factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539. There are 8 integers that are factors of 7539. The greatest factor of 7539 is 7539.

3. 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.

4. How to Find the GCF of 7539 and 7540?

Answer:

Greatest Common Factor of 7539 and 7540 = 1

Step 1: Find the prime factorization of 7539

7539 = 3 x 7 x 359

Step 2: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7539 and 7540 is 1