Greatest Common Factor of 7371 and 7377

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 7371, 7377 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7371 and 7377 is 3.

GCF(7371,7377) = 3

GCF of 7371 and 7377

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

GCF of:
and

Greatest Common Factor of 7371 and 7377

GCF of 7371 and 7377 is 3

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

Prime Factorization of 7377


3 7377
2459 2459
1

Prime factors of 7377 are 3,2459. Prime factorization of 7377 in exponential form is:

7377 = 31×24591

∴ So by taking common prime factors GCF of 7371 and 7377 is 3

Greatest Common Factor of 7371 and 7377 by matching factors method

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

Factors of 7377

List of positive integer factors of 7377 that divides 7377 without a remainder.

1,3,2459,7377

Greatest Common Factor

We found the factors and prime factorization of 7371 and 7377. The biggest common factor number is the GCF number.
So the greatest common factor 7371 and 7377 is 3.

Also check out the Least Common Multiple of 7371 and 7377

Properties of GCF 7371 and 7377

(i) The GCF of 7371 and 7377 is associative

GCF of 7371 and 7377 = GCF of 7377 and 7371

Related Greatest Common Factor of 7371

Related Greatest Common Factor of 7377

Frequently Asked Questions on GCF of 7371 and 7377

1. What is the GCF of 7371 and 7377?

Answer: GCF of 7371 and 7377 is 3.

2. 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.

3. What are the Factors of 7377?

Answer: Factors of 7377 are 1, 3, 2459, 7377. There are 4 integers that are factors of 7377. The greatest factor of 7377 is 7377.

4. How to Find the GCF of 7371 and 7377?

Answer:

Greatest Common Factor of 7371 and 7377 = 3

Step 1: Find the prime factorization of 7371

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

Step 2: Find the prime factorization of 7377

7377 = 3 x 2459

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 7371 and 7377 is 3