Greatest Common Factor of 7314 and 7321

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 7314, 7321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7314 and 7321 is 1.

GCF(7314,7321) = 1

GCF of 7314 and 7321

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

GCF of:
and

Greatest Common Factor of 7314 and 7321

GCF of 7314 and 7321 is 1

Prime Factorization of 7314


2 7314
3 3657
23 1219
53 53
1

Prime factors of 7314 are 2,3,23,53. Prime factorization of 7314 in exponential form is:

7314 = 21×31×231×531

Prime Factorization of 7321


7321 7321
1

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 73211

∴ So by taking common prime factors GCF of 7314 and 7321 is 1

Greatest Common Factor of 7314 and 7321 by matching factors method

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Factors of 7321

List of positive integer factors of 7321 that divides 7321 without a remainder.

1,7321

Greatest Common Factor

We found the factors and prime factorization of 7314 and 7321. The biggest common factor number is the GCF number.
So the greatest common factor 7314 and 7321 is 1.

Also check out the Least Common Multiple of 7314 and 7321

Properties of GCF 7314 and 7321

(i) The GCF of 7314 and 7321 is associative

GCF of 7314 and 7321 = GCF of 7321 and 7314

Related Greatest Common Factor of 7314

Related Greatest Common Factor of 7321

Frequently Asked Questions on GCF of 7314 and 7321

1. What is the GCF of 7314 and 7321?

Answer: GCF of 7314 and 7321 is 1.

2. What are the Factors of 7314?

Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.

3. What are the Factors of 7321?

Answer: Factors of 7321 are 1, 7321. There are 2 integers that are factors of 7321. The greatest factor of 7321 is 7321.

4. How to Find the GCF of 7314 and 7321?

Answer:

Greatest Common Factor of 7314 and 7321 = 1

Step 1: Find the prime factorization of 7314

7314 = 2 x 3 x 23 x 53

Step 2: Find the prime factorization of 7321

7321 = 7321

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 7314 and 7321 is 1