Greatest Common Factor of 1514 and 1520

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, 1520 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1514 and 1520 is 2.

GCF(1514,1520) = 2

GCF of 1514 and 1520

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

GCF of:
and

Greatest Common Factor of 1514 and 1520

GCF of 1514 and 1520 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 1520


2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 1520 are 2,5,19. Prime factorization of 1520 in exponential form is:

1520 = 24×51×191

∴ So by taking common prime factors GCF of 1514 and 1520 is 2

Greatest Common Factor of 1514 and 1520 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 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Greatest Common Factor

We found the factors and prime factorization of 1514 and 1520. The biggest common factor number is the GCF number.
So the greatest common factor 1514 and 1520 is 2.

Also check out the Least Common Multiple of 1514 and 1520

Properties of GCF 1514 and 1520

(i) The GCF of 1514 and 1520 is associative

GCF of 1514 and 1520 = GCF of 1520 and 1514

Related Greatest Common Factor of 1514

Related Greatest Common Factor of 1520

Frequently Asked Questions on GCF of 1514 and 1520

1. What is the GCF of 1514 and 1520?

Answer: GCF of 1514 and 1520 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 1520?

Answer: Factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520. There are 20 integers that are factors of 1520. The greatest factor of 1520 is 1520.

4. How to Find the GCF of 1514 and 1520?

Answer:

Greatest Common Factor of 1514 and 1520 = 2

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

Step 2: Find the prime factorization of 1520

1520 = 2 x 2 x 2 x 2 x 5 x 19

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 1520 is 2