Greatest Common Factor of 7530 and 7536

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 7530, 7536 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7530 and 7536 is 6.

GCF(7530,7536) = 6

GCF of 7530 and 7536

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

GCF of:
and

Greatest Common Factor of 7530 and 7536

GCF of 7530 and 7536 is 6

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

Prime Factorization of 7536


2 7536
2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 7536 are 2,3,157. Prime factorization of 7536 in exponential form is:

7536 = 24×31×1571

∴ So by taking common prime factors GCF of 7530 and 7536 is 6

Greatest Common Factor of 7530 and 7536 by matching factors method

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

Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536

Greatest Common Factor

We found the factors and prime factorization of 7530 and 7536. The biggest common factor number is the GCF number.
So the greatest common factor 7530 and 7536 is 6.

Also check out the Least Common Multiple of 7530 and 7536

Properties of GCF 7530 and 7536

(i) The GCF of 7530 and 7536 is associative

GCF of 7530 and 7536 = GCF of 7536 and 7530

Related Greatest Common Factor of 7530

Related Greatest Common Factor of 7536

Frequently Asked Questions on GCF of 7530 and 7536

1. What is the GCF of 7530 and 7536?

Answer: GCF of 7530 and 7536 is 6.

2. 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.

3. What are the Factors of 7536?

Answer: Factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536. There are 20 integers that are factors of 7536. The greatest factor of 7536 is 7536.

4. How to Find the GCF of 7530 and 7536?

Answer:

Greatest Common Factor of 7530 and 7536 = 6

Step 1: Find the prime factorization of 7530

7530 = 2 x 3 x 5 x 251

Step 2: Find the prime factorization of 7536

7536 = 2 x 2 x 2 x 2 x 3 x 157

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 7530 and 7536 is 6