Greatest Common Factor of 8654 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 8654, 8662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8654 and 8662 is 2.

GCF(8654,8662) = 2

GCF of 8654 and 8662

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

GCF of:
and

Greatest Common Factor of 8654 and 8662

GCF of 8654 and 8662 is 2

Prime Factorization of 8654


2 8654
4327 4327
1

Prime factors of 8654 are 2,4327. Prime factorization of 8654 in exponential form is:

8654 = 21×43271

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 8654 and 8662 is 2

Greatest Common Factor of 8654 and 8662 by matching factors method

Factors of 8654

List of positive integer factors of 8654 that divides 8654 without a remainder.

1,2,4327,8654

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 8654 and 8662. The biggest common factor number is the GCF number.
So the greatest common factor 8654 and 8662 is 2.

Also check out the Least Common Multiple of 8654 and 8662

Properties of GCF 8654 and 8662

(i) The GCF of 8654 and 8662 is associative

GCF of 8654 and 8662 = GCF of 8662 and 8654

Related Greatest Common Factor of 8654

Related Greatest Common Factor of 8662

Frequently Asked Questions on GCF of 8654 and 8662

1. What is the GCF of 8654 and 8662?

Answer: GCF of 8654 and 8662 is 2.

2. What are the Factors of 8654?

Answer: Factors of 8654 are 1, 2, 4327, 8654. There are 4 integers that are factors of 8654. The greatest factor of 8654 is 8654.

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 8654 and 8662?

Answer:

Greatest Common Factor of 8654 and 8662 = 2

Step 1: Find the prime factorization of 8654

8654 = 2 x 4327

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 8654 and 8662 is 2