Greatest Common Factor of 4074 and 4080

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 4074, 4080 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4074 and 4080 is 6.

GCF(4074,4080) = 6

GCF of 4074 and 4080

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

GCF of:
and

Greatest Common Factor of 4074 and 4080

GCF of 4074 and 4080 is 6

Prime Factorization of 4074


2 4074
3 2037
7 679
97 97
1

Prime factors of 4074 are 2,3,7,97. Prime factorization of 4074 in exponential form is:

4074 = 21×31×71×971

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

∴ So by taking common prime factors GCF of 4074 and 4080 is 6

Greatest Common Factor of 4074 and 4080 by matching factors method

Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074

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

Greatest Common Factor

We found the factors and prime factorization of 4074 and 4080. The biggest common factor number is the GCF number.
So the greatest common factor 4074 and 4080 is 6.

Also check out the Least Common Multiple of 4074 and 4080

Properties of GCF 4074 and 4080

(i) The GCF of 4074 and 4080 is associative

GCF of 4074 and 4080 = GCF of 4080 and 4074

Related Greatest Common Factor of 4074

Related Greatest Common Factor of 4080

Frequently Asked Questions on GCF of 4074 and 4080

1. What is the GCF of 4074 and 4080?

Answer: GCF of 4074 and 4080 is 6.

2. What are the Factors of 4074?

Answer: Factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074. There are 16 integers that are factors of 4074. The greatest factor of 4074 is 4074.

3. 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.

4. How to Find the GCF of 4074 and 4080?

Answer:

Greatest Common Factor of 4074 and 4080 = 6

Step 1: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

Step 2: Find the prime factorization of 4080

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4074 and 4080 is 6