Greatest Common Factor of 7533 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 7533, 7540 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7533 and 7540 is 1.

GCF(7533,7540) = 1

GCF of 7533 and 7540

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

GCF of:
and

Greatest Common Factor of 7533 and 7540

GCF of 7533 and 7540 is 1

Prime Factorization of 7533


3 7533
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 7533 are 3,31. Prime factorization of 7533 in exponential form is:

7533 = 35×311

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 7533 and 7540 is 1

Greatest Common Factor of 7533 and 7540 by matching factors method

Factors of 7533

List of positive integer factors of 7533 that divides 7533 without a remainder.

1,3,9,27,31,81,93,243,279,837,2511,7533

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 7533 and 7540. The biggest common factor number is the GCF number.
So the greatest common factor 7533 and 7540 is 1.

Also check out the Least Common Multiple of 7533 and 7540

Properties of GCF 7533 and 7540

(i) The GCF of 7533 and 7540 is associative

GCF of 7533 and 7540 = GCF of 7540 and 7533

Related Greatest Common Factor of 7533

Related Greatest Common Factor of 7540

Frequently Asked Questions on GCF of 7533 and 7540

1. What is the GCF of 7533 and 7540?

Answer: GCF of 7533 and 7540 is 1.

2. What are the Factors of 7533?

Answer: Factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533. There are 12 integers that are factors of 7533. The greatest factor of 7533 is 7533.

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 7533 and 7540?

Answer:

Greatest Common Factor of 7533 and 7540 = 1

Step 1: Find the prime factorization of 7533

7533 = 3 x 3 x 3 x 3 x 3 x 31

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 7533 and 7540 is 1