Greatest Common Factor of 8370 and 8375

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, 8375 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8370 and 8375 is 5.

GCF(8370,8375) = 5

GCF of 8370 and 8375

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

GCF of:
and

Greatest Common Factor of 8370 and 8375

GCF of 8370 and 8375 is 5

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 8375


5 8375
5 1675
5 335
67 67
1

Prime factors of 8375 are 5,67. Prime factorization of 8375 in exponential form is:

8375 = 53×671

∴ So by taking common prime factors GCF of 8370 and 8375 is 5

Greatest Common Factor of 8370 and 8375 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 8375

List of positive integer factors of 8375 that divides 8375 without a remainder.

1,5,25,67,125,335,1675,8375

Greatest Common Factor

We found the factors and prime factorization of 8370 and 8375. The biggest common factor number is the GCF number.
So the greatest common factor 8370 and 8375 is 5.

Also check out the Least Common Multiple of 8370 and 8375

Properties of GCF 8370 and 8375

(i) The GCF of 8370 and 8375 is associative

GCF of 8370 and 8375 = GCF of 8375 and 8370

Related Greatest Common Factor of 8370

Related Greatest Common Factor of 8375

Frequently Asked Questions on GCF of 8370 and 8375

1. What is the GCF of 8370 and 8375?

Answer: GCF of 8370 and 8375 is 5.

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 8375?

Answer: Factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375. There are 8 integers that are factors of 8375. The greatest factor of 8375 is 8375.

4. How to Find the GCF of 8370 and 8375?

Answer:

Greatest Common Factor of 8370 and 8375 = 5

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 8375

8375 = 5 x 5 x 5 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8370 and 8375 is 5