Greatest Common Factor of 4527 and 4533

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 4527, 4533 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4527 and 4533 is 3.

GCF(4527,4533) = 3

GCF of 4527 and 4533

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

GCF of:
and

Greatest Common Factor of 4527 and 4533

GCF of 4527 and 4533 is 3

Prime Factorization of 4527


3 4527
3 1509
503 503
1

Prime factors of 4527 are 3,503. Prime factorization of 4527 in exponential form is:

4527 = 32×5031

Prime Factorization of 4533


3 4533
1511 1511
1

Prime factors of 4533 are 3,1511. Prime factorization of 4533 in exponential form is:

4533 = 31×15111

∴ So by taking common prime factors GCF of 4527 and 4533 is 3

Greatest Common Factor of 4527 and 4533 by matching factors method

Factors of 4527

List of positive integer factors of 4527 that divides 4527 without a remainder.

1,3,9,503,1509,4527

Factors of 4533

List of positive integer factors of 4533 that divides 4533 without a remainder.

1,3,1511,4533

Greatest Common Factor

We found the factors and prime factorization of 4527 and 4533. The biggest common factor number is the GCF number.
So the greatest common factor 4527 and 4533 is 3.

Also check out the Least Common Multiple of 4527 and 4533

Properties of GCF 4527 and 4533

(i) The GCF of 4527 and 4533 is associative

GCF of 4527 and 4533 = GCF of 4533 and 4527

Frequently Asked Questions on GCF of 4527 and 4533

1. What is the GCF of 4527 and 4533?

Answer: GCF of 4527 and 4533 is 3.

2. What are the Factors of 4527?

Answer: Factors of 4527 are 1, 3, 9, 503, 1509, 4527. There are 6 integers that are factors of 4527. The greatest factor of 4527 is 4527.

3. What are the Factors of 4533?

Answer: Factors of 4533 are 1, 3, 1511, 4533. There are 4 integers that are factors of 4533. The greatest factor of 4533 is 4533.

4. How to Find the GCF of 4527 and 4533?

Answer:

Greatest Common Factor of 4527 and 4533 = 3

Step 1: Find the prime factorization of 4527

4527 = 3 x 3 x 503

Step 2: Find the prime factorization of 4533

4533 = 3 x 1511

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 4527 and 4533 is 3