Greatest Common Factor of 3078 and 3084

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 3078, 3084 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3078 and 3084 is 6.

GCF(3078,3084) = 6

GCF of 3078 and 3084

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

GCF of:
and

Greatest Common Factor of 3078 and 3084

GCF of 3078 and 3084 is 6

Prime Factorization of 3078


2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 3078 are 2,3,19. Prime factorization of 3078 in exponential form is:

3078 = 21×34×191

Prime Factorization of 3084


2 3084
2 1542
3 771
257 257
1

Prime factors of 3084 are 2,3,257. Prime factorization of 3084 in exponential form is:

3084 = 22×31×2571

∴ So by taking common prime factors GCF of 3078 and 3084 is 6

Greatest Common Factor of 3078 and 3084 by matching factors method

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Greatest Common Factor

We found the factors and prime factorization of 3078 and 3084. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3084 is 6.

Also check out the Least Common Multiple of 3078 and 3084

Properties of GCF 3078 and 3084

(i) The GCF of 3078 and 3084 is associative

GCF of 3078 and 3084 = GCF of 3084 and 3078

Related Greatest Common Factor of 3078

Related Greatest Common Factor of 3084

Frequently Asked Questions on GCF of 3078 and 3084

1. What is the GCF of 3078 and 3084?

Answer: GCF of 3078 and 3084 is 6.

2. What are the Factors of 3078?

Answer: Factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078. There are 20 integers that are factors of 3078. The greatest factor of 3078 is 3078.

3. What are the Factors of 3084?

Answer: Factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084. There are 12 integers that are factors of 3084. The greatest factor of 3084 is 3084.

4. How to Find the GCF of 3078 and 3084?

Answer:

Greatest Common Factor of 3078 and 3084 = 6

Step 1: Find the prime factorization of 3078

3078 = 2 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

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 3078 and 3084 is 6