Greatest Common Factor of 4521 and 4527

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 4521, 4527 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4521 and 4527 is 3.

GCF(4521,4527) = 3

GCF of 4521 and 4527

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

GCF of:
and

Greatest Common Factor of 4521 and 4527

GCF of 4521 and 4527 is 3

Prime Factorization of 4521


3 4521
11 1507
137 137
1

Prime factors of 4521 are 3,11,137. Prime factorization of 4521 in exponential form is:

4521 = 31×111×1371

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

∴ So by taking common prime factors GCF of 4521 and 4527 is 3

Greatest Common Factor of 4521 and 4527 by matching factors method

Factors of 4521

List of positive integer factors of 4521 that divides 4521 without a remainder.

1,3,11,33,137,411,1507,4521

Factors of 4527

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

1,3,9,503,1509,4527

Greatest Common Factor

We found the factors and prime factorization of 4521 and 4527. The biggest common factor number is the GCF number.
So the greatest common factor 4521 and 4527 is 3.

Also check out the Least Common Multiple of 4521 and 4527

Properties of GCF 4521 and 4527

(i) The GCF of 4521 and 4527 is associative

GCF of 4521 and 4527 = GCF of 4527 and 4521

Related Greatest Common Factor of 4521

Related Greatest Common Factor of 4527

Frequently Asked Questions on GCF of 4521 and 4527

1. What is the GCF of 4521 and 4527?

Answer: GCF of 4521 and 4527 is 3.

2. What are the Factors of 4521?

Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.

3. 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.

4. How to Find the GCF of 4521 and 4527?

Answer:

Greatest Common Factor of 4521 and 4527 = 3

Step 1: Find the prime factorization of 4521

4521 = 3 x 11 x 137

Step 2: Find the prime factorization of 4527

4527 = 3 x 3 x 503

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 4521 and 4527 is 3