Greatest Common Factor of 4080 and 4084

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 4080, 4084 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4080 and 4084 is 4.

GCF(4080,4084) = 4

GCF of 4080 and 4084

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

GCF of:
and

Greatest Common Factor of 4080 and 4084

GCF of 4080 and 4084 is 4

Prime Factorization of 4080


2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 4080 are 2,3,5,17. Prime factorization of 4080 in exponential form is:

4080 = 24×31×51×171

Prime Factorization of 4084


2 4084
2 2042
1021 1021
1

Prime factors of 4084 are 2,1021. Prime factorization of 4084 in exponential form is:

4084 = 22×10211

∴ So by taking common prime factors GCF of 4080 and 4084 is 4

Greatest Common Factor of 4080 and 4084 by matching factors method

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1,2,4,1021,2042,4084

Greatest Common Factor

We found the factors and prime factorization of 4080 and 4084. The biggest common factor number is the GCF number.
So the greatest common factor 4080 and 4084 is 4.

Also check out the Least Common Multiple of 4080 and 4084

Properties of GCF 4080 and 4084

(i) The GCF of 4080 and 4084 is associative

GCF of 4080 and 4084 = GCF of 4084 and 4080

Related Greatest Common Factor of 4080

Related Greatest Common Factor of 4084

Frequently Asked Questions on GCF of 4080 and 4084

1. What is the GCF of 4080 and 4084?

Answer: GCF of 4080 and 4084 is 4.

2. What are the Factors of 4080?

Answer: Factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. There are 40 integers that are factors of 4080. The greatest factor of 4080 is 4080.

3. What are the Factors of 4084?

Answer: Factors of 4084 are 1, 2, 4, 1021, 2042, 4084. There are 6 integers that are factors of 4084. The greatest factor of 4084 is 4084.

4. How to Find the GCF of 4080 and 4084?

Answer:

Greatest Common Factor of 4080 and 4084 = 4

Step 1: Find the prime factorization of 4080

4080 = 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 4084

4084 = 2 x 2 x 1021

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4080 and 4084 is 4