Greatest Common Factor of 4515 and 4521

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 4515, 4521 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4515 and 4521 is 3.

GCF(4515,4521) = 3

GCF of 4515 and 4521

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

GCF of:
and

Greatest Common Factor of 4515 and 4521

GCF of 4515 and 4521 is 3

Prime Factorization of 4515


3 4515
5 1505
7 301
43 43
1

Prime factors of 4515 are 3,5,7,43. Prime factorization of 4515 in exponential form is:

4515 = 31×51×71×431

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

∴ So by taking common prime factors GCF of 4515 and 4521 is 3

Greatest Common Factor of 4515 and 4521 by matching factors method

Factors of 4515

List of positive integer factors of 4515 that divides 4515 without a remainder.

1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515

Factors of 4521

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

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

Greatest Common Factor

We found the factors and prime factorization of 4515 and 4521. The biggest common factor number is the GCF number.
So the greatest common factor 4515 and 4521 is 3.

Also check out the Least Common Multiple of 4515 and 4521

Properties of GCF 4515 and 4521

(i) The GCF of 4515 and 4521 is associative

GCF of 4515 and 4521 = GCF of 4521 and 4515

Related Greatest Common Factor of 4515

Related Greatest Common Factor of 4521

Frequently Asked Questions on GCF of 4515 and 4521

1. What is the GCF of 4515 and 4521?

Answer: GCF of 4515 and 4521 is 3.

2. What are the Factors of 4515?

Answer: Factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515. There are 16 integers that are factors of 4515. The greatest factor of 4515 is 4515.

3. 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.

4. How to Find the GCF of 4515 and 4521?

Answer:

Greatest Common Factor of 4515 and 4521 = 3

Step 1: Find the prime factorization of 4515

4515 = 3 x 5 x 7 x 43

Step 2: Find the prime factorization of 4521

4521 = 3 x 11 x 137

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 4515 and 4521 is 3