Greatest Common Factor of 2520 and 2527

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 2520, 2527 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2520 and 2527 is 7.

GCF(2520,2527) = 7

GCF of 2520 and 2527

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

GCF of:
and

Greatest Common Factor of 2520 and 2527

GCF of 2520 and 2527 is 7

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

Prime Factorization of 2527


7 2527
19 361
19 19
1

Prime factors of 2527 are 7,19. Prime factorization of 2527 in exponential form is:

2527 = 71×192

∴ So by taking common prime factors GCF of 2520 and 2527 is 7

Greatest Common Factor of 2520 and 2527 by matching factors method

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

Factors of 2527

List of positive integer factors of 2527 that divides 2527 without a remainder.

1,7,19,133,361,2527

Greatest Common Factor

We found the factors and prime factorization of 2520 and 2527. The biggest common factor number is the GCF number.
So the greatest common factor 2520 and 2527 is 7.

Also check out the Least Common Multiple of 2520 and 2527

Properties of GCF 2520 and 2527

(i) The GCF of 2520 and 2527 is associative

GCF of 2520 and 2527 = GCF of 2527 and 2520

Related Greatest Common Factor of 2520

Related Greatest Common Factor of 2527

Frequently Asked Questions on GCF of 2520 and 2527

1. What is the GCF of 2520 and 2527?

Answer: GCF of 2520 and 2527 is 7.

2. 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.

3. What are the Factors of 2527?

Answer: Factors of 2527 are 1, 7, 19, 133, 361, 2527. There are 6 integers that are factors of 2527. The greatest factor of 2527 is 2527.

4. How to Find the GCF of 2520 and 2527?

Answer:

Greatest Common Factor of 2520 and 2527 = 7

Step 1: Find the prime factorization of 2520

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

Step 2: Find the prime factorization of 2527

2527 = 7 x 19 x 19

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2520 and 2527 is 7