Greatest Common Factor of 7302 and 7309

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 7302, 7309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7302 and 7309 is 1.

GCF(7302,7309) = 1

GCF of 7302 and 7309

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

GCF of:
and

Greatest Common Factor of 7302 and 7309

GCF of 7302 and 7309 is 1

Prime Factorization of 7302


2 7302
3 3651
1217 1217
1

Prime factors of 7302 are 2,3,1217. Prime factorization of 7302 in exponential form is:

7302 = 21×31×12171

Prime Factorization of 7309


7309 7309
1

Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:

7309 = 73091

∴ So by taking common prime factors GCF of 7302 and 7309 is 1

Greatest Common Factor of 7302 and 7309 by matching factors method

Factors of 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1,2,3,6,1217,2434,3651,7302

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1,7309

Greatest Common Factor

We found the factors and prime factorization of 7302 and 7309. The biggest common factor number is the GCF number.
So the greatest common factor 7302 and 7309 is 1.

Also check out the Least Common Multiple of 7302 and 7309

Properties of GCF 7302 and 7309

(i) The GCF of 7302 and 7309 is associative

GCF of 7302 and 7309 = GCF of 7309 and 7302

Frequently Asked Questions on GCF of 7302 and 7309

1. What is the GCF of 7302 and 7309?

Answer: GCF of 7302 and 7309 is 1.

2. What are the Factors of 7302?

Answer: Factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302. There are 8 integers that are factors of 7302. The greatest factor of 7302 is 7302.

3. What are the Factors of 7309?

Answer: Factors of 7309 are 1, 7309. There are 2 integers that are factors of 7309. The greatest factor of 7309 is 7309.

4. How to Find the GCF of 7302 and 7309?

Answer:

Greatest Common Factor of 7302 and 7309 = 1

Step 1: Find the prime factorization of 7302

7302 = 2 x 3 x 1217

Step 2: Find the prime factorization of 7309

7309 = 7309

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7302 and 7309 is 1