Greatest Common Factor of 8370 and 8373

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 8370, 8373 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8370 and 8373 is 3.

GCF(8370,8373) = 3

GCF of 8370 and 8373

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

GCF of:
and

Greatest Common Factor of 8370 and 8373

GCF of 8370 and 8373 is 3

Prime Factorization of 8370


2 8370
3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 8370 are 2,3,5,31. Prime factorization of 8370 in exponential form is:

8370 = 21×33×51×311

Prime Factorization of 8373


3 8373
2791 2791
1

Prime factors of 8373 are 3,2791. Prime factorization of 8373 in exponential form is:

8373 = 31×27911

∴ So by taking common prime factors GCF of 8370 and 8373 is 3

Greatest Common Factor of 8370 and 8373 by matching factors method

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Factors of 8373

List of positive integer factors of 8373 that divides 8373 without a remainder.

1,3,2791,8373

Greatest Common Factor

We found the factors and prime factorization of 8370 and 8373. The biggest common factor number is the GCF number.
So the greatest common factor 8370 and 8373 is 3.

Also check out the Least Common Multiple of 8370 and 8373

Properties of GCF 8370 and 8373

(i) The GCF of 8370 and 8373 is associative

GCF of 8370 and 8373 = GCF of 8373 and 8370

Related Greatest Common Factor of 8370

Related Greatest Common Factor of 8373

Frequently Asked Questions on GCF of 8370 and 8373

1. What is the GCF of 8370 and 8373?

Answer: GCF of 8370 and 8373 is 3.

2. What are the Factors of 8370?

Answer: Factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370. There are 32 integers that are factors of 8370. The greatest factor of 8370 is 8370.

3. What are the Factors of 8373?

Answer: Factors of 8373 are 1, 3, 2791, 8373. There are 4 integers that are factors of 8373. The greatest factor of 8373 is 8373.

4. How to Find the GCF of 8370 and 8373?

Answer:

Greatest Common Factor of 8370 and 8373 = 3

Step 1: Find the prime factorization of 8370

8370 = 2 x 3 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 8373

8373 = 3 x 2791

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 8370 and 8373 is 3