Greatest Common Factor of 7364 and 7371

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 7364, 7371 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7364 and 7371 is 7.

GCF(7364,7371) = 7

GCF of 7364 and 7371

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

GCF of:
and

Greatest Common Factor of 7364 and 7371

GCF of 7364 and 7371 is 7

Prime Factorization of 7364


2 7364
2 3682
7 1841
263 263
1

Prime factors of 7364 are 2,7,263. Prime factorization of 7364 in exponential form is:

7364 = 22×71×2631

Prime Factorization of 7371


3 7371
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 7371 are 3,7,13. Prime factorization of 7371 in exponential form is:

7371 = 34×71×131

∴ So by taking common prime factors GCF of 7364 and 7371 is 7

Greatest Common Factor of 7364 and 7371 by matching factors method

Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1,2,4,7,14,28,263,526,1052,1841,3682,7364

Factors of 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371

Greatest Common Factor

We found the factors and prime factorization of 7364 and 7371. The biggest common factor number is the GCF number.
So the greatest common factor 7364 and 7371 is 7.

Also check out the Least Common Multiple of 7364 and 7371

Properties of GCF 7364 and 7371

(i) The GCF of 7364 and 7371 is associative

GCF of 7364 and 7371 = GCF of 7371 and 7364

Related Greatest Common Factor of 7364

Related Greatest Common Factor of 7371

Frequently Asked Questions on GCF of 7364 and 7371

1. What is the GCF of 7364 and 7371?

Answer: GCF of 7364 and 7371 is 7.

2. What are the Factors of 7364?

Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.

3. What are the Factors of 7371?

Answer: Factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371. There are 20 integers that are factors of 7371. The greatest factor of 7371 is 7371.

4. How to Find the GCF of 7364 and 7371?

Answer:

Greatest Common Factor of 7364 and 7371 = 7

Step 1: Find the prime factorization of 7364

7364 = 2 x 2 x 7 x 263

Step 2: Find the prime factorization of 7371

7371 = 3 x 3 x 3 x 3 x 7 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7364 and 7371 is 7