Greatest Common Factor of 8658 and 8662

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 8658, 8662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8658 and 8662 is 2.

GCF(8658,8662) = 2

GCF of 8658 and 8662

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

GCF of:
and

Greatest Common Factor of 8658 and 8662

GCF of 8658 and 8662 is 2

Prime Factorization of 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2,3,13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

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

∴ So by taking common prime factors GCF of 8658 and 8662 is 2

Greatest Common Factor of 8658 and 8662 by matching factors method

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Factors of 8662

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

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

Greatest Common Factor

We found the factors and prime factorization of 8658 and 8662. The biggest common factor number is the GCF number.
So the greatest common factor 8658 and 8662 is 2.

Also check out the Least Common Multiple of 8658 and 8662

Properties of GCF 8658 and 8662

(i) The GCF of 8658 and 8662 is associative

GCF of 8658 and 8662 = GCF of 8662 and 8658

Related Greatest Common Factor of 8658

Related Greatest Common Factor of 8662

Frequently Asked Questions on GCF of 8658 and 8662

1. What is the GCF of 8658 and 8662?

Answer: GCF of 8658 and 8662 is 2.

2. What are the Factors of 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

3. 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.

4. How to Find the GCF of 8658 and 8662?

Answer:

Greatest Common Factor of 8658 and 8662 = 2

Step 1: Find the prime factorization of 8658

8658 = 2 x 3 x 3 x 13 x 37

Step 2: Find the prime factorization of 8662

8662 = 2 x 61 x 71

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 8658 and 8662 is 2