Greatest Common Factor of 8662 and 8670

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 8662, 8670 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8662 and 8670 is 2.

GCF(8662,8670) = 2

GCF of 8662 and 8670

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

GCF of:
and

Greatest Common Factor of 8662 and 8670

GCF of 8662 and 8670 is 2

Prime Factorization of 8662


2 8662
61 4331
71 71
1

Prime factors of 8662 are 2,61,71. Prime factorization of 8662 in exponential form is:

8662 = 21×611×711

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

∴ So by taking common prime factors GCF of 8662 and 8670 is 2

Greatest Common Factor of 8662 and 8670 by matching factors method

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1,2,61,71,122,142,4331,8662

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

Greatest Common Factor

We found the factors and prime factorization of 8662 and 8670. The biggest common factor number is the GCF number.
So the greatest common factor 8662 and 8670 is 2.

Also check out the Least Common Multiple of 8662 and 8670

Properties of GCF 8662 and 8670

(i) The GCF of 8662 and 8670 is associative

GCF of 8662 and 8670 = GCF of 8670 and 8662

Related Greatest Common Factor of 8662

Related Greatest Common Factor of 8670

Frequently Asked Questions on GCF of 8662 and 8670

1. What is the GCF of 8662 and 8670?

Answer: GCF of 8662 and 8670 is 2.

2. What are the Factors of 8662?

Answer: Factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662. There are 8 integers that are factors of 8662. The greatest factor of 8662 is 8662.

3. 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.

4. How to Find the GCF of 8662 and 8670?

Answer:

Greatest Common Factor of 8662 and 8670 = 2

Step 1: Find the prime factorization of 8662

8662 = 2 x 61 x 71

Step 2: Find the prime factorization of 8670

8670 = 2 x 3 x 5 x 17 x 17

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 8662 and 8670 is 2