Greatest Common Factor of 8656 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 8656, 8662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8656 and 8662 is 2.

GCF(8656,8662) = 2

GCF of 8656 and 8662

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

GCF of:
and

Greatest Common Factor of 8656 and 8662

GCF of 8656 and 8662 is 2

Prime Factorization of 8656


2 8656
2 4328
2 2164
2 1082
541 541
1

Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:

8656 = 24×5411

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 8656 and 8662 is 2

Greatest Common Factor of 8656 and 8662 by matching factors method

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1,2,4,8,16,541,1082,2164,4328,8656

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 8656 and 8662. The biggest common factor number is the GCF number.
So the greatest common factor 8656 and 8662 is 2.

Also check out the Least Common Multiple of 8656 and 8662

Properties of GCF 8656 and 8662

(i) The GCF of 8656 and 8662 is associative

GCF of 8656 and 8662 = GCF of 8662 and 8656

Related Greatest Common Factor of 8656

Related Greatest Common Factor of 8662

Frequently Asked Questions on GCF of 8656 and 8662

1. What is the GCF of 8656 and 8662?

Answer: GCF of 8656 and 8662 is 2.

2. What are the Factors of 8656?

Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.

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 8656 and 8662?

Answer:

Greatest Common Factor of 8656 and 8662 = 2

Step 1: Find the prime factorization of 8656

8656 = 2 x 2 x 2 x 2 x 541

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 8656 and 8662 is 2