Greatest Common Factor of 7527 and 7533

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 7527, 7533 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7527 and 7533 is 3.

GCF(7527,7533) = 3

GCF of 7527 and 7533

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

GCF of:
and

Greatest Common Factor of 7527 and 7533

GCF of 7527 and 7533 is 3

Prime Factorization of 7527


3 7527
13 2509
193 193
1

Prime factors of 7527 are 3,13,193. Prime factorization of 7527 in exponential form is:

7527 = 31×131×1931

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

∴ So by taking common prime factors GCF of 7527 and 7533 is 3

Greatest Common Factor of 7527 and 7533 by matching factors method

Factors of 7527

List of positive integer factors of 7527 that divides 7527 without a remainder.

1,3,13,39,193,579,2509,7527

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

Greatest Common Factor

We found the factors and prime factorization of 7527 and 7533. The biggest common factor number is the GCF number.
So the greatest common factor 7527 and 7533 is 3.

Also check out the Least Common Multiple of 7527 and 7533

Properties of GCF 7527 and 7533

(i) The GCF of 7527 and 7533 is associative

GCF of 7527 and 7533 = GCF of 7533 and 7527

Related Greatest Common Factor of 7527

Related Greatest Common Factor of 7533

Frequently Asked Questions on GCF of 7527 and 7533

1. What is the GCF of 7527 and 7533?

Answer: GCF of 7527 and 7533 is 3.

2. What are the Factors of 7527?

Answer: Factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527. There are 8 integers that are factors of 7527. The greatest factor of 7527 is 7527.

3. 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.

4. How to Find the GCF of 7527 and 7533?

Answer:

Greatest Common Factor of 7527 and 7533 = 3

Step 1: Find the prime factorization of 7527

7527 = 3 x 13 x 193

Step 2: Find the prime factorization of 7533

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

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 7527 and 7533 is 3