Greatest Common Factor of 7309 and 7313

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

• Greatest Common Factor of 7309 and 7313 by prime factorization method
• Greatest Common Factor of 7309 and 7313 by matching factors method

Prime Factorization of 7309

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

7309 = 7309¹

Prime Factorization of 7313

Prime factors of 7313 are 71.Prime factorization of 7313 in exponential form is:

7313 = 71¹×103¹

∴ So by taking common prime factors GCF of 7309 and 7313 is 1

Factors of 7309

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

1,7309

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Greatest Common Factor

We found the factors and prime factorization of 7309 and 7313. The biggest common factor number is the GCF number.
So the greatest common factor 7309 and 7313 is 1.

Also check out the Least Common Multiple of 7309 and 7313

(i) The GCF of 7309 and 7313 is associative

GCF of 7309 and 7313 = GCF of 7313 and 7309

1. What is the GCF of 7309 and 7313?

Answer: GCF of 7309 and 7313 is 1.

2. 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.

3. What are the Factors of 7313?

Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.

4. How to Find the GCF of 7309 and 7313?

Answer:

Greatest Common Factor of 7309 and 7313 = 1

Step 1: Find the prime factorization of 7309

7309 = 7309

Step 2: Find the prime factorization of 7313

7313 = 71 x 103

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 7309 and 7313 is 1