Greatest Common Factor of 7524 and 7530

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 7524, 7530 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7524 and 7530 is 6.

GCF(7524,7530) = 6

GCF of 7524 and 7530

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

GCF of:
and

Greatest Common Factor of 7524 and 7530

GCF of 7524 and 7530 is 6

Prime Factorization of 7524


2 7524
2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 7524 are 2,3,11,19. Prime factorization of 7524 in exponential form is:

7524 = 22×32×111×191

Prime Factorization of 7530


2 7530
3 3765
5 1255
251 251
1

Prime factors of 7530 are 2,3,5,251. Prime factorization of 7530 in exponential form is:

7530 = 21×31×51×2511

∴ So by taking common prime factors GCF of 7524 and 7530 is 6

Greatest Common Factor of 7524 and 7530 by matching factors method

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Factors of 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530

Greatest Common Factor

We found the factors and prime factorization of 7524 and 7530. The biggest common factor number is the GCF number.
So the greatest common factor 7524 and 7530 is 6.

Also check out the Least Common Multiple of 7524 and 7530

Properties of GCF 7524 and 7530

(i) The GCF of 7524 and 7530 is associative

GCF of 7524 and 7530 = GCF of 7530 and 7524

Related Greatest Common Factor of 7524

Related Greatest Common Factor of 7530

Frequently Asked Questions on GCF of 7524 and 7530

1. What is the GCF of 7524 and 7530?

Answer: GCF of 7524 and 7530 is 6.

2. What are the Factors of 7524?

Answer: Factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524. There are 36 integers that are factors of 7524. The greatest factor of 7524 is 7524.

3. What are the Factors of 7530?

Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.

4. How to Find the GCF of 7524 and 7530?

Answer:

Greatest Common Factor of 7524 and 7530 = 6

Step 1: Find the prime factorization of 7524

7524 = 2 x 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 7530

7530 = 2 x 3 x 5 x 251

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 7524 and 7530 is 6