Greatest Common Factor of 8666 and 8672

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 8666, 8672 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8666 and 8672 is 2.

GCF(8666,8672) = 2

GCF of 8666 and 8672

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

GCF of:
and

Greatest Common Factor of 8666 and 8672

GCF of 8666 and 8672 is 2

Prime Factorization of 8666


2 8666
7 4333
619 619
1

Prime factors of 8666 are 2,7,619. Prime factorization of 8666 in exponential form is:

8666 = 21×71×6191

Prime Factorization of 8672


2 8672
2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 8672 are 2,271. Prime factorization of 8672 in exponential form is:

8672 = 25×2711

∴ So by taking common prime factors GCF of 8666 and 8672 is 2

Greatest Common Factor of 8666 and 8672 by matching factors method

Factors of 8666

List of positive integer factors of 8666 that divides 8666 without a remainder.

1,2,7,14,619,1238,4333,8666

Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1,2,4,8,16,32,271,542,1084,2168,4336,8672

Greatest Common Factor

We found the factors and prime factorization of 8666 and 8672. The biggest common factor number is the GCF number.
So the greatest common factor 8666 and 8672 is 2.

Also check out the Least Common Multiple of 8666 and 8672

Properties of GCF 8666 and 8672

(i) The GCF of 8666 and 8672 is associative

GCF of 8666 and 8672 = GCF of 8672 and 8666

Related Greatest Common Factor of 8666

Related Greatest Common Factor of 8672

Frequently Asked Questions on GCF of 8666 and 8672

1. What is the GCF of 8666 and 8672?

Answer: GCF of 8666 and 8672 is 2.

2. What are the Factors of 8666?

Answer: Factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666. There are 8 integers that are factors of 8666. The greatest factor of 8666 is 8666.

3. What are the Factors of 8672?

Answer: Factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672. There are 12 integers that are factors of 8672. The greatest factor of 8672 is 8672.

4. How to Find the GCF of 8666 and 8672?

Answer:

Greatest Common Factor of 8666 and 8672 = 2

Step 1: Find the prime factorization of 8666

8666 = 2 x 7 x 619

Step 2: Find the prime factorization of 8672

8672 = 2 x 2 x 2 x 2 x 2 x 271

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 8666 and 8672 is 2