Greatest Common Factor of 8670 and 8674

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 8670, 8674 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8670 and 8674 is 2.

GCF(8670,8674) = 2

GCF of 8670 and 8674

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

GCF of:
and

Greatest Common Factor of 8670 and 8674

GCF of 8670 and 8674 is 2

Prime Factorization of 8670


2 8670
3 4335
5 1445
17 289
17 17
1

Prime factors of 8670 are 2,3,5,17. Prime factorization of 8670 in exponential form is:

8670 = 21×31×51×172

Prime Factorization of 8674


2 8674
4337 4337
1

Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:

8674 = 21×43371

∴ So by taking common prime factors GCF of 8670 and 8674 is 2

Greatest Common Factor of 8670 and 8674 by matching factors method

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670

Factors of 8674

List of positive integer factors of 8674 that divides 8674 without a remainder.

1,2,4337,8674

Greatest Common Factor

We found the factors and prime factorization of 8670 and 8674. The biggest common factor number is the GCF number.
So the greatest common factor 8670 and 8674 is 2.

Also check out the Least Common Multiple of 8670 and 8674

Properties of GCF 8670 and 8674

(i) The GCF of 8670 and 8674 is associative

GCF of 8670 and 8674 = GCF of 8674 and 8670

Related Greatest Common Factor of 8670

Related Greatest Common Factor of 8674

Frequently Asked Questions on GCF of 8670 and 8674

1. What is the GCF of 8670 and 8674?

Answer: GCF of 8670 and 8674 is 2.

2. What are the Factors of 8670?

Answer: Factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670. There are 24 integers that are factors of 8670. The greatest factor of 8670 is 8670.

3. What are the Factors of 8674?

Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.

4. How to Find the GCF of 8670 and 8674?

Answer:

Greatest Common Factor of 8670 and 8674 = 2

Step 1: Find the prime factorization of 8670

8670 = 2 x 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 8674

8674 = 2 x 4337

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8670 and 8674 is 2