Greatest Common Factor of 1514 and 1518

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 1514, 1518 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1514 and 1518 is 2.

GCF(1514,1518) = 2

GCF of 1514 and 1518

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

GCF of:
and

Greatest Common Factor of 1514 and 1518

GCF of 1514 and 1518 is 2

Prime Factorization of 1514


2 1514
757 757
1

Prime factors of 1514 are 2,757. Prime factorization of 1514 in exponential form is:

1514 = 21×7571

Prime Factorization of 1518


2 1518
3 759
11 253
23 23
1

Prime factors of 1518 are 2,3,11,23. Prime factorization of 1518 in exponential form is:

1518 = 21×31×111×231

∴ So by taking common prime factors GCF of 1514 and 1518 is 2

Greatest Common Factor of 1514 and 1518 by matching factors method

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1,2,757,1514

Factors of 1518

List of positive integer factors of 1518 that divides 1518 without a remainder.

1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518

Greatest Common Factor

We found the factors and prime factorization of 1514 and 1518. The biggest common factor number is the GCF number.
So the greatest common factor 1514 and 1518 is 2.

Also check out the Least Common Multiple of 1514 and 1518

Properties of GCF 1514 and 1518

(i) The GCF of 1514 and 1518 is associative

GCF of 1514 and 1518 = GCF of 1518 and 1514

Related Greatest Common Factor of 1514

Related Greatest Common Factor of 1518

Frequently Asked Questions on GCF of 1514 and 1518

1. What is the GCF of 1514 and 1518?

Answer: GCF of 1514 and 1518 is 2.

2. What are the Factors of 1514?

Answer: Factors of 1514 are 1, 2, 757, 1514. There are 4 integers that are factors of 1514. The greatest factor of 1514 is 1514.

3. What are the Factors of 1518?

Answer: Factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518. There are 16 integers that are factors of 1518. The greatest factor of 1518 is 1518.

4. How to Find the GCF of 1514 and 1518?

Answer:

Greatest Common Factor of 1514 and 1518 = 2

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

Step 2: Find the prime factorization of 1518

1518 = 2 x 3 x 11 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1514 and 1518 is 2