Greatest Common Factor of 7533 and 7539

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, 7539 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7533 and 7539 is 3.

GCF(7533,7539) = 3

GCF of 7533 and 7539

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

GCF of:
and

Greatest Common Factor of 7533 and 7539

GCF of 7533 and 7539 is 3

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 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

∴ So by taking common prime factors GCF of 7533 and 7539 is 3

Greatest Common Factor of 7533 and 7539 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 7539

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

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

Greatest Common Factor

We found the factors and prime factorization of 7533 and 7539. The biggest common factor number is the GCF number.
So the greatest common factor 7533 and 7539 is 3.

Also check out the Least Common Multiple of 7533 and 7539

Properties of GCF 7533 and 7539

(i) The GCF of 7533 and 7539 is associative

GCF of 7533 and 7539 = GCF of 7539 and 7533

Related Greatest Common Factor of 7533

Related Greatest Common Factor of 7539

Frequently Asked Questions on GCF of 7533 and 7539

1. What is the GCF of 7533 and 7539?

Answer: GCF of 7533 and 7539 is 3.

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 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.

4. How to Find the GCF of 7533 and 7539?

Answer:

Greatest Common Factor of 7533 and 7539 = 3

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 7539

7539 = 3 x 7 x 359

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7533 and 7539 is 3