Greatest Common Factor of 7362 and 7367

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 7362, 7367 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7362 and 7367 is 1.

GCF(7362,7367) = 1

GCF of 7362 and 7367

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

GCF of:
and

Greatest Common Factor of 7362 and 7367

GCF of 7362 and 7367 is 1

Prime Factorization of 7362


2 7362
3 3681
3 1227
409 409
1

Prime factors of 7362 are 2,3,409. Prime factorization of 7362 in exponential form is:

7362 = 21×32×4091

Prime Factorization of 7367


53 7367
139 139
1

Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:

7367 = 531×1391

∴ So by taking common prime factors GCF of 7362 and 7367 is 1

Greatest Common Factor of 7362 and 7367 by matching factors method

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Factors of 7367

List of positive integer factors of 7367 that divides 7367 without a remainder.

1,53,139,7367

Greatest Common Factor

We found the factors and prime factorization of 7362 and 7367. The biggest common factor number is the GCF number.
So the greatest common factor 7362 and 7367 is 1.

Also check out the Least Common Multiple of 7362 and 7367

Properties of GCF 7362 and 7367

(i) The GCF of 7362 and 7367 is associative

GCF of 7362 and 7367 = GCF of 7367 and 7362

Related Greatest Common Factor of 7362

Related Greatest Common Factor of 7367

Frequently Asked Questions on GCF of 7362 and 7367

1. What is the GCF of 7362 and 7367?

Answer: GCF of 7362 and 7367 is 1.

2. What are the Factors of 7362?

Answer: Factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362. There are 12 integers that are factors of 7362. The greatest factor of 7362 is 7362.

3. What are the Factors of 7367?

Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.

4. How to Find the GCF of 7362 and 7367?

Answer:

Greatest Common Factor of 7362 and 7367 = 1

Step 1: Find the prime factorization of 7362

7362 = 2 x 3 x 3 x 409

Step 2: Find the prime factorization of 7367

7367 = 53 x 139

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 7362 and 7367 is 1