Greatest Common Factor of 7347 and 7353

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 7347, 7353 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7347 and 7353 is 3.

GCF(7347,7353) = 3

GCF of 7347 and 7353

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

GCF of:
and

Greatest Common Factor of 7347 and 7353

GCF of 7347 and 7353 is 3

Prime Factorization of 7347


3 7347
31 2449
79 79
1

Prime factors of 7347 are 3,31,79. Prime factorization of 7347 in exponential form is:

7347 = 31×311×791

Prime Factorization of 7353


3 7353
3 2451
19 817
43 43
1

Prime factors of 7353 are 3,19,43. Prime factorization of 7353 in exponential form is:

7353 = 32×191×431

∴ So by taking common prime factors GCF of 7347 and 7353 is 3

Greatest Common Factor of 7347 and 7353 by matching factors method

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Greatest Common Factor

We found the factors and prime factorization of 7347 and 7353. The biggest common factor number is the GCF number.
So the greatest common factor 7347 and 7353 is 3.

Also check out the Least Common Multiple of 7347 and 7353

Properties of GCF 7347 and 7353

(i) The GCF of 7347 and 7353 is associative

GCF of 7347 and 7353 = GCF of 7353 and 7347

Related Greatest Common Factor of 7347

Related Greatest Common Factor of 7353

Frequently Asked Questions on GCF of 7347 and 7353

1. What is the GCF of 7347 and 7353?

Answer: GCF of 7347 and 7353 is 3.

2. What are the Factors of 7347?

Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.

3. What are the Factors of 7353?

Answer: Factors of 7353 are 1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451, 7353. There are 12 integers that are factors of 7353. The greatest factor of 7353 is 7353.

4. How to Find the GCF of 7347 and 7353?

Answer:

Greatest Common Factor of 7347 and 7353 = 3

Step 1: Find the prime factorization of 7347

7347 = 3 x 31 x 79

Step 2: Find the prime factorization of 7353

7353 = 3 x 3 x 19 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7347 and 7353 is 3