Greatest Common Factor of 7530 and 7534

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, 7534 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7530 and 7534 is 2.

GCF(7530,7534) = 2

GCF of 7530 and 7534

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

GCF of:
and

Greatest Common Factor of 7530 and 7534

GCF of 7530 and 7534 is 2

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 7534


2 7534
3767 3767
1

Prime factors of 7534 are 2,3767. Prime factorization of 7534 in exponential form is:

7534 = 21×37671

∴ So by taking common prime factors GCF of 7530 and 7534 is 2

Greatest Common Factor of 7530 and 7534 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 7534

List of positive integer factors of 7534 that divides 7534 without a remainder.

1,2,3767,7534

Greatest Common Factor

We found the factors and prime factorization of 7530 and 7534. The biggest common factor number is the GCF number.
So the greatest common factor 7530 and 7534 is 2.

Also check out the Least Common Multiple of 7530 and 7534

Properties of GCF 7530 and 7534

(i) The GCF of 7530 and 7534 is associative

GCF of 7530 and 7534 = GCF of 7534 and 7530

Related Greatest Common Factor of 7530

Related Greatest Common Factor of 7534

Frequently Asked Questions on GCF of 7530 and 7534

1. What is the GCF of 7530 and 7534?

Answer: GCF of 7530 and 7534 is 2.

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 7534?

Answer: Factors of 7534 are 1, 2, 3767, 7534. There are 4 integers that are factors of 7534. The greatest factor of 7534 is 7534.

4. How to Find the GCF of 7530 and 7534?

Answer:

Greatest Common Factor of 7530 and 7534 = 2

Step 1: Find the prime factorization of 7530

7530 = 2 x 3 x 5 x 251

Step 2: Find the prime factorization of 7534

7534 = 2 x 3767

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 7530 and 7534 is 2