Greatest Common Factor of 5367 and 5373

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 5367, 5373 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5367 and 5373 is 3.

GCF(5367,5373) = 3

GCF of 5367 and 5373

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

GCF of:
and

Greatest Common Factor of 5367 and 5373

GCF of 5367 and 5373 is 3

Prime Factorization of 5367


3 5367
1789 1789
1

Prime factors of 5367 are 3,1789. Prime factorization of 5367 in exponential form is:

5367 = 31×17891

Prime Factorization of 5373


3 5373
3 1791
3 597
199 199
1

Prime factors of 5373 are 3,199. Prime factorization of 5373 in exponential form is:

5373 = 33×1991

∴ So by taking common prime factors GCF of 5367 and 5373 is 3

Greatest Common Factor of 5367 and 5373 by matching factors method

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1,3,1789,5367

Factors of 5373

List of positive integer factors of 5373 that divides 5373 without a remainder.

1,3,9,27,199,597,1791,5373

Greatest Common Factor

We found the factors and prime factorization of 5367 and 5373. The biggest common factor number is the GCF number.
So the greatest common factor 5367 and 5373 is 3.

Also check out the Least Common Multiple of 5367 and 5373

Properties of GCF 5367 and 5373

(i) The GCF of 5367 and 5373 is associative

GCF of 5367 and 5373 = GCF of 5373 and 5367

Related Greatest Common Factor of 5367

Related Greatest Common Factor of 5373

Frequently Asked Questions on GCF of 5367 and 5373

1. What is the GCF of 5367 and 5373?

Answer: GCF of 5367 and 5373 is 3.

2. What are the Factors of 5367?

Answer: Factors of 5367 are 1, 3, 1789, 5367. There are 4 integers that are factors of 5367. The greatest factor of 5367 is 5367.

3. What are the Factors of 5373?

Answer: Factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373. There are 8 integers that are factors of 5373. The greatest factor of 5373 is 5373.

4. How to Find the GCF of 5367 and 5373?

Answer:

Greatest Common Factor of 5367 and 5373 = 3

Step 1: Find the prime factorization of 5367

5367 = 3 x 1789

Step 2: Find the prime factorization of 5373

5373 = 3 x 3 x 3 x 199

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 5367 and 5373 is 3