Greatest Common Factor of 7341 and 7347

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 7341, 7347 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7341 and 7347 is 3.

GCF(7341,7347) = 3

GCF of 7341 and 7347

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

GCF of:
and

Greatest Common Factor of 7341 and 7347

GCF of 7341 and 7347 is 3

Prime Factorization of 7341


3 7341
2447 2447
1

Prime factors of 7341 are 3,2447. Prime factorization of 7341 in exponential form is:

7341 = 31×24471

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

∴ So by taking common prime factors GCF of 7341 and 7347 is 3

Greatest Common Factor of 7341 and 7347 by matching factors method

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1,3,2447,7341

Factors of 7347

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

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

Greatest Common Factor

We found the factors and prime factorization of 7341 and 7347. The biggest common factor number is the GCF number.
So the greatest common factor 7341 and 7347 is 3.

Also check out the Least Common Multiple of 7341 and 7347

Properties of GCF 7341 and 7347

(i) The GCF of 7341 and 7347 is associative

GCF of 7341 and 7347 = GCF of 7347 and 7341

Related Greatest Common Factor of 7341

Related Greatest Common Factor of 7347

Frequently Asked Questions on GCF of 7341 and 7347

1. What is the GCF of 7341 and 7347?

Answer: GCF of 7341 and 7347 is 3.

2. What are the Factors of 7341?

Answer: Factors of 7341 are 1, 3, 2447, 7341. There are 4 integers that are factors of 7341. The greatest factor of 7341 is 7341.

3. 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.

4. How to Find the GCF of 7341 and 7347?

Answer:

Greatest Common Factor of 7341 and 7347 = 3

Step 1: Find the prime factorization of 7341

7341 = 3 x 2447

Step 2: Find the prime factorization of 7347

7347 = 3 x 31 x 79

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 7341 and 7347 is 3