Greatest Common Factor of 7300 and 7306

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 7300, 7306 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7300 and 7306 is 2.

GCF(7300,7306) = 2

GCF of 7300 and 7306

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

GCF of:
and

Greatest Common Factor of 7300 and 7306

GCF of 7300 and 7306 is 2

Prime Factorization of 7300


2 7300
2 3650
5 1825
5 365
73 73
1

Prime factors of 7300 are 2,5,73. Prime factorization of 7300 in exponential form is:

7300 = 22×52×731

Prime Factorization of 7306


2 7306
13 3653
281 281
1

Prime factors of 7306 are 2,13,281. Prime factorization of 7306 in exponential form is:

7306 = 21×131×2811

∴ So by taking common prime factors GCF of 7300 and 7306 is 2

Greatest Common Factor of 7300 and 7306 by matching factors method

Factors of 7300

List of positive integer factors of 7300 that divides 7300 without a remainder.

1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300

Factors of 7306

List of positive integer factors of 7306 that divides 7306 without a remainder.

1,2,13,26,281,562,3653,7306

Greatest Common Factor

We found the factors and prime factorization of 7300 and 7306. The biggest common factor number is the GCF number.
So the greatest common factor 7300 and 7306 is 2.

Also check out the Least Common Multiple of 7300 and 7306

Properties of GCF 7300 and 7306

(i) The GCF of 7300 and 7306 is associative

GCF of 7300 and 7306 = GCF of 7306 and 7300

Related Greatest Common Factor of 7300

Related Greatest Common Factor of 7306

Frequently Asked Questions on GCF of 7300 and 7306

1. What is the GCF of 7300 and 7306?

Answer: GCF of 7300 and 7306 is 2.

2. What are the Factors of 7300?

Answer: Factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300. There are 18 integers that are factors of 7300. The greatest factor of 7300 is 7300.

3. What are the Factors of 7306?

Answer: Factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306. There are 8 integers that are factors of 7306. The greatest factor of 7306 is 7306.

4. How to Find the GCF of 7300 and 7306?

Answer:

Greatest Common Factor of 7300 and 7306 = 2

Step 1: Find the prime factorization of 7300

7300 = 2 x 2 x 5 x 5 x 73

Step 2: Find the prime factorization of 7306

7306 = 2 x 13 x 281

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 7300 and 7306 is 2