Greatest Common Factor of 8670 and 8675

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, 8675 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8670 and 8675 is 5.

GCF(8670,8675) = 5

GCF of 8670 and 8675

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

GCF of:
and

Greatest Common Factor of 8670 and 8675

GCF of 8670 and 8675 is 5

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 8675


5 8675
5 1735
347 347
1

Prime factors of 8675 are 5,347. Prime factorization of 8675 in exponential form is:

8675 = 52×3471

∴ So by taking common prime factors GCF of 8670 and 8675 is 5

Greatest Common Factor of 8670 and 8675 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 8675

List of positive integer factors of 8675 that divides 8675 without a remainder.

1,5,25,347,1735,8675

Greatest Common Factor

We found the factors and prime factorization of 8670 and 8675. The biggest common factor number is the GCF number.
So the greatest common factor 8670 and 8675 is 5.

Also check out the Least Common Multiple of 8670 and 8675

Properties of GCF 8670 and 8675

(i) The GCF of 8670 and 8675 is associative

GCF of 8670 and 8675 = GCF of 8675 and 8670

Related Greatest Common Factor of 8670

Related Greatest Common Factor of 8675

Frequently Asked Questions on GCF of 8670 and 8675

1. What is the GCF of 8670 and 8675?

Answer: GCF of 8670 and 8675 is 5.

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 8675?

Answer: Factors of 8675 are 1, 5, 25, 347, 1735, 8675. There are 6 integers that are factors of 8675. The greatest factor of 8675 is 8675.

4. How to Find the GCF of 8670 and 8675?

Answer:

Greatest Common Factor of 8670 and 8675 = 5

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 8675

8675 = 5 x 5 x 347

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 8670 and 8675 is 5