Greatest Common Factor of 3078 and 3081

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, 3081 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3078 and 3081 is 3.

GCF(3078,3081) = 3

GCF of 3078 and 3081

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

GCF of:
and

Greatest Common Factor of 3078 and 3081

GCF of 3078 and 3081 is 3

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 3081


3 3081
13 1027
79 79
1

Prime factors of 3081 are 3,13,79. Prime factorization of 3081 in exponential form is:

3081 = 31×131×791

∴ So by taking common prime factors GCF of 3078 and 3081 is 3

Greatest Common Factor of 3078 and 3081 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 3081

List of positive integer factors of 3081 that divides 3081 without a remainder.

1,3,13,39,79,237,1027,3081

Greatest Common Factor

We found the factors and prime factorization of 3078 and 3081. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3081 is 3.

Also check out the Least Common Multiple of 3078 and 3081

Properties of GCF 3078 and 3081

(i) The GCF of 3078 and 3081 is associative

GCF of 3078 and 3081 = GCF of 3081 and 3078

Related Greatest Common Factor of 3078

Related Greatest Common Factor of 3081

Frequently Asked Questions on GCF of 3078 and 3081

1. What is the GCF of 3078 and 3081?

Answer: GCF of 3078 and 3081 is 3.

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 3081?

Answer: Factors of 3081 are 1, 3, 13, 39, 79, 237, 1027, 3081. There are 8 integers that are factors of 3081. The greatest factor of 3081 is 3081.

4. How to Find the GCF of 3078 and 3081?

Answer:

Greatest Common Factor of 3078 and 3081 = 3

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 3081

3081 = 3 x 13 x 79

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 3078 and 3081 is 3