Greatest Common Factor of 7340 and 7345

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 7340, 7345 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7340 and 7345 is 5.

GCF(7340,7345) = 5

GCF of 7340 and 7345

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

GCF of:
and

Greatest Common Factor of 7340 and 7345

GCF of 7340 and 7345 is 5

Prime Factorization of 7340


2 7340
2 3670
5 1835
367 367
1

Prime factors of 7340 are 2,5,367. Prime factorization of 7340 in exponential form is:

7340 = 22×51×3671

Prime Factorization of 7345


5 7345
13 1469
113 113
1

Prime factors of 7345 are 5,13,113. Prime factorization of 7345 in exponential form is:

7345 = 51×131×1131

∴ So by taking common prime factors GCF of 7340 and 7345 is 5

Greatest Common Factor of 7340 and 7345 by matching factors method

Factors of 7340

List of positive integer factors of 7340 that divides 7340 without a remainder.

1,2,4,5,10,20,367,734,1468,1835,3670,7340

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors and prime factorization of 7340 and 7345. The biggest common factor number is the GCF number.
So the greatest common factor 7340 and 7345 is 5.

Also check out the Least Common Multiple of 7340 and 7345

Properties of GCF 7340 and 7345

(i) The GCF of 7340 and 7345 is associative

GCF of 7340 and 7345 = GCF of 7345 and 7340

Related Greatest Common Factor of 7340

Related Greatest Common Factor of 7345

Frequently Asked Questions on GCF of 7340 and 7345

1. What is the GCF of 7340 and 7345?

Answer: GCF of 7340 and 7345 is 5.

2. What are the Factors of 7340?

Answer: Factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340. There are 12 integers that are factors of 7340. The greatest factor of 7340 is 7340.

3. What are the Factors of 7345?

Answer: Factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345. There are 8 integers that are factors of 7345. The greatest factor of 7345 is 7345.

4. How to Find the GCF of 7340 and 7345?

Answer:

Greatest Common Factor of 7340 and 7345 = 5

Step 1: Find the prime factorization of 7340

7340 = 2 x 2 x 5 x 367

Step 2: Find the prime factorization of 7345

7345 = 5 x 13 x 113

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7340 and 7345 is 5