Greatest Common Factor of 2514 and 2520

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 2514, 2520 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2514 and 2520 is 6.

GCF(2514,2520) = 6

GCF of 2514 and 2520

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

GCF of:
and

Greatest Common Factor of 2514 and 2520

GCF of 2514 and 2520 is 6

Prime Factorization of 2514


2 2514
3 1257
419 419
1

Prime factors of 2514 are 2,3,419. Prime factorization of 2514 in exponential form is:

2514 = 21×31×4191

Prime Factorization of 2520


2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 2520 are 2,3,5,7. Prime factorization of 2520 in exponential form is:

2520 = 23×32×51×71

∴ So by taking common prime factors GCF of 2514 and 2520 is 6

Greatest Common Factor of 2514 and 2520 by matching factors method

Factors of 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1,2,3,6,419,838,1257,2514

Factors of 2520

List of positive integer factors of 2520 that divides 2520 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520

Greatest Common Factor

We found the factors and prime factorization of 2514 and 2520. The biggest common factor number is the GCF number.
So the greatest common factor 2514 and 2520 is 6.

Also check out the Least Common Multiple of 2514 and 2520

Properties of GCF 2514 and 2520

(i) The GCF of 2514 and 2520 is associative

GCF of 2514 and 2520 = GCF of 2520 and 2514

Related Greatest Common Factor of 2514

Related Greatest Common Factor of 2520

Frequently Asked Questions on GCF of 2514 and 2520

1. What is the GCF of 2514 and 2520?

Answer: GCF of 2514 and 2520 is 6.

2. What are the Factors of 2514?

Answer: Factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514. There are 8 integers that are factors of 2514. The greatest factor of 2514 is 2514.

3. What are the Factors of 2520?

Answer: Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520. There are 48 integers that are factors of 2520. The greatest factor of 2520 is 2520.

4. How to Find the GCF of 2514 and 2520?

Answer:

Greatest Common Factor of 2514 and 2520 = 6

Step 1: Find the prime factorization of 2514

2514 = 2 x 3 x 419

Step 2: Find the prime factorization of 2520

2520 = 2 x 2 x 2 x 3 x 3 x 5 x 7

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2514 and 2520 is 6