Greatest Common Factor of 8370 and 8376

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, 8376 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8370 and 8376 is 6.

GCF(8370,8376) = 6

GCF of 8370 and 8376

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

GCF of:
and

Greatest Common Factor of 8370 and 8376

GCF of 8370 and 8376 is 6

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 8376


2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 8376 are 2,3,349. Prime factorization of 8376 in exponential form is:

8376 = 23×31×3491

∴ So by taking common prime factors GCF of 8370 and 8376 is 6

Greatest Common Factor of 8370 and 8376 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 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376

Greatest Common Factor

We found the factors and prime factorization of 8370 and 8376. The biggest common factor number is the GCF number.
So the greatest common factor 8370 and 8376 is 6.

Also check out the Least Common Multiple of 8370 and 8376

Properties of GCF 8370 and 8376

(i) The GCF of 8370 and 8376 is associative

GCF of 8370 and 8376 = GCF of 8376 and 8370

Related Greatest Common Factor of 8370

Related Greatest Common Factor of 8376

Frequently Asked Questions on GCF of 8370 and 8376

1. What is the GCF of 8370 and 8376?

Answer: GCF of 8370 and 8376 is 6.

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 8376?

Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.

4. How to Find the GCF of 8370 and 8376?

Answer:

Greatest Common Factor of 8370 and 8376 = 6

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 8376

8376 = 2 x 2 x 2 x 3 x 349

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8370 and 8376 is 6