Greatest Common Factor of 7506 and 7509

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 7506, 7509 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7506 and 7509 is 3.

GCF(7506,7509) = 3

GCF of 7506 and 7509

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

GCF of:
and

Greatest Common Factor of 7506 and 7509

GCF of 7506 and 7509 is 3

Prime Factorization of 7506


2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 7506 are 2,3,139. Prime factorization of 7506 in exponential form is:

7506 = 21×33×1391

Prime Factorization of 7509


3 7509
2503 2503
1

Prime factors of 7509 are 3,2503. Prime factorization of 7509 in exponential form is:

7509 = 31×25031

∴ So by taking common prime factors GCF of 7506 and 7509 is 3

Greatest Common Factor of 7506 and 7509 by matching factors method

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1,3,2503,7509

Greatest Common Factor

We found the factors and prime factorization of 7506 and 7509. The biggest common factor number is the GCF number.
So the greatest common factor 7506 and 7509 is 3.

Also check out the Least Common Multiple of 7506 and 7509

Properties of GCF 7506 and 7509

(i) The GCF of 7506 and 7509 is associative

GCF of 7506 and 7509 = GCF of 7509 and 7506

Related Greatest Common Factor of 7506

Related Greatest Common Factor of 7509

Frequently Asked Questions on GCF of 7506 and 7509

1. What is the GCF of 7506 and 7509?

Answer: GCF of 7506 and 7509 is 3.

2. What are the Factors of 7506?

Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.

3. What are the Factors of 7509?

Answer: Factors of 7509 are 1, 3, 2503, 7509. There are 4 integers that are factors of 7509. The greatest factor of 7509 is 7509.

4. How to Find the GCF of 7506 and 7509?

Answer:

Greatest Common Factor of 7506 and 7509 = 3

Step 1: Find the prime factorization of 7506

7506 = 2 x 3 x 3 x 3 x 139

Step 2: Find the prime factorization of 7509

7509 = 3 x 2503

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7506 and 7509 is 3