Greatest Common Factor of 8667 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 8667, 8672 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8667 and 8672 is 1.

GCF(8667,8672) = 1

GCF of 8667 and 8672

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

GCF of:
and

Greatest Common Factor of 8667 and 8672

GCF of 8667 and 8672 is 1

Prime Factorization of 8667


3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 8667 are 3,107. Prime factorization of 8667 in exponential form is:

8667 = 34×1071

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 8667 and 8672 is 1

Greatest Common Factor of 8667 and 8672 by matching factors method

Factors of 8667

List of positive integer factors of 8667 that divides 8667 without a remainder.

1,3,9,27,81,107,321,963,2889,8667

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 8667 and 8672. The biggest common factor number is the GCF number.
So the greatest common factor 8667 and 8672 is 1.

Also check out the Least Common Multiple of 8667 and 8672

Properties of GCF 8667 and 8672

(i) The GCF of 8667 and 8672 is associative

GCF of 8667 and 8672 = GCF of 8672 and 8667

Related Greatest Common Factor of 8667

Related Greatest Common Factor of 8672

Frequently Asked Questions on GCF of 8667 and 8672

1. What is the GCF of 8667 and 8672?

Answer: GCF of 8667 and 8672 is 1.

2. What are the Factors of 8667?

Answer: Factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667. There are 10 integers that are factors of 8667. The greatest factor of 8667 is 8667.

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 8667 and 8672?

Answer:

Greatest Common Factor of 8667 and 8672 = 1

Step 1: Find the prime factorization of 8667

8667 = 3 x 3 x 3 x 3 x 107

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 = = 1

Step 4: Therefore, the greatest common factor of 8667 and 8672 is 1