Greatest Common Factor of 4509 and 4514

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 4509, 4514 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4509 and 4514 is 1.

GCF(4509,4514) = 1

GCF of 4509 and 4514

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

GCF of:
and

Greatest Common Factor of 4509 and 4514

GCF of 4509 and 4514 is 1

Prime Factorization of 4509


3 4509
3 1503
3 501
167 167
1

Prime factors of 4509 are 3,167. Prime factorization of 4509 in exponential form is:

4509 = 33×1671

Prime Factorization of 4514


2 4514
37 2257
61 61
1

Prime factors of 4514 are 2,37,61. Prime factorization of 4514 in exponential form is:

4514 = 21×371×611

∴ So by taking common prime factors GCF of 4509 and 4514 is 1

Greatest Common Factor of 4509 and 4514 by matching factors method

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1,3,9,27,167,501,1503,4509

Factors of 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1,2,37,61,74,122,2257,4514

Greatest Common Factor

We found the factors and prime factorization of 4509 and 4514. The biggest common factor number is the GCF number.
So the greatest common factor 4509 and 4514 is 1.

Also check out the Least Common Multiple of 4509 and 4514

Properties of GCF 4509 and 4514

(i) The GCF of 4509 and 4514 is associative

GCF of 4509 and 4514 = GCF of 4514 and 4509

Related Greatest Common Factor of 4509

Related Greatest Common Factor of 4514

Frequently Asked Questions on GCF of 4509 and 4514

1. What is the GCF of 4509 and 4514?

Answer: GCF of 4509 and 4514 is 1.

2. What are the Factors of 4509?

Answer: Factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509. There are 8 integers that are factors of 4509. The greatest factor of 4509 is 4509.

3. What are the Factors of 4514?

Answer: Factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514. There are 8 integers that are factors of 4514. The greatest factor of 4514 is 4514.

4. How to Find the GCF of 4509 and 4514?

Answer:

Greatest Common Factor of 4509 and 4514 = 1

Step 1: Find the prime factorization of 4509

4509 = 3 x 3 x 3 x 167

Step 2: Find the prime factorization of 4514

4514 = 2 x 37 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4509 and 4514 is 1