Greatest Common Factor of 4089 and 4092

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 4089, 4092 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4089 and 4092 is 3.

GCF(4089,4092) = 3

GCF of 4089 and 4092

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

GCF of:
and

Greatest Common Factor of 4089 and 4092

GCF of 4089 and 4092 is 3

Prime Factorization of 4089


3 4089
29 1363
47 47
1

Prime factors of 4089 are 3,29,47. Prime factorization of 4089 in exponential form is:

4089 = 31×291×471

Prime Factorization of 4092


2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 4092 are 2,3,11,31. Prime factorization of 4092 in exponential form is:

4092 = 22×31×111×311

∴ So by taking common prime factors GCF of 4089 and 4092 is 3

Greatest Common Factor of 4089 and 4092 by matching factors method

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1,3,29,47,87,141,1363,4089

Factors of 4092

List of positive integer factors of 4092 that divides 4092 without a remainder.

1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092

Greatest Common Factor

We found the factors and prime factorization of 4089 and 4092. The biggest common factor number is the GCF number.
So the greatest common factor 4089 and 4092 is 3.

Also check out the Least Common Multiple of 4089 and 4092

Properties of GCF 4089 and 4092

(i) The GCF of 4089 and 4092 is associative

GCF of 4089 and 4092 = GCF of 4092 and 4089

Related Greatest Common Factor of 4089

Related Greatest Common Factor of 4092

Frequently Asked Questions on GCF of 4089 and 4092

1. What is the GCF of 4089 and 4092?

Answer: GCF of 4089 and 4092 is 3.

2. What are the Factors of 4089?

Answer: Factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089. There are 8 integers that are factors of 4089. The greatest factor of 4089 is 4089.

3. What are the Factors of 4092?

Answer: Factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092. There are 24 integers that are factors of 4092. The greatest factor of 4092 is 4092.

4. How to Find the GCF of 4089 and 4092?

Answer:

Greatest Common Factor of 4089 and 4092 = 3

Step 1: Find the prime factorization of 4089

4089 = 3 x 29 x 47

Step 2: Find the prime factorization of 4092

4092 = 2 x 2 x 3 x 11 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4089 and 4092 is 3