Greatest Common Factor of 8602 and 8606

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 8602, 8606 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8602 and 8606 is 2.

GCF(8602,8606) = 2

GCF of 8602 and 8606

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

GCF of:
and

Greatest Common Factor of 8602 and 8606

GCF of 8602 and 8606 is 2

Prime Factorization of 8602


2 8602
11 4301
17 391
23 23
1

Prime factors of 8602 are 2,11,17,23. Prime factorization of 8602 in exponential form is:

8602 = 21×111×171×231

Prime Factorization of 8606


2 8606
13 4303
331 331
1

Prime factors of 8606 are 2,13,331. Prime factorization of 8606 in exponential form is:

8606 = 21×131×3311

∴ So by taking common prime factors GCF of 8602 and 8606 is 2

Greatest Common Factor of 8602 and 8606 by matching factors method

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602

Factors of 8606

List of positive integer factors of 8606 that divides 8606 without a remainder.

1,2,13,26,331,662,4303,8606

Greatest Common Factor

We found the factors and prime factorization of 8602 and 8606. The biggest common factor number is the GCF number.
So the greatest common factor 8602 and 8606 is 2.

Also check out the Least Common Multiple of 8602 and 8606

Properties of GCF 8602 and 8606

(i) The GCF of 8602 and 8606 is associative

GCF of 8602 and 8606 = GCF of 8606 and 8602

Related Greatest Common Factor of 8602

Related Greatest Common Factor of 8606

Frequently Asked Questions on GCF of 8602 and 8606

1. What is the GCF of 8602 and 8606?

Answer: GCF of 8602 and 8606 is 2.

2. What are the Factors of 8602?

Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.

3. What are the Factors of 8606?

Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.

4. How to Find the GCF of 8602 and 8606?

Answer:

Greatest Common Factor of 8602 and 8606 = 2

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 8606

8606 = 2 x 13 x 331

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 8602 and 8606 is 2