Greatest Common Factor of 3074 and 3078

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 3074, 3078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3074 and 3078 is 2.

GCF(3074,3078) = 2

GCF of 3074 and 3078

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

GCF of:
and

Greatest Common Factor of 3074 and 3078

GCF of 3074 and 3078 is 2

Prime Factorization of 3074


2 3074
29 1537
53 53
1

Prime factors of 3074 are 2,29,53. Prime factorization of 3074 in exponential form is:

3074 = 21×291×531

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

∴ So by taking common prime factors GCF of 3074 and 3078 is 2

Greatest Common Factor of 3074 and 3078 by matching factors method

Factors of 3074

List of positive integer factors of 3074 that divides 3074 without a remainder.

1,2,29,53,58,106,1537,3074

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

Greatest Common Factor

We found the factors and prime factorization of 3074 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3074 and 3078 is 2.

Also check out the Least Common Multiple of 3074 and 3078

Properties of GCF 3074 and 3078

(i) The GCF of 3074 and 3078 is associative

GCF of 3074 and 3078 = GCF of 3078 and 3074

Related Greatest Common Factor of 3074

Related Greatest Common Factor of 3078

Frequently Asked Questions on GCF of 3074 and 3078

1. What is the GCF of 3074 and 3078?

Answer: GCF of 3074 and 3078 is 2.

2. What are the Factors of 3074?

Answer: Factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074. There are 8 integers that are factors of 3074. The greatest factor of 3074 is 3074.

3. 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.

4. How to Find the GCF of 3074 and 3078?

Answer:

Greatest Common Factor of 3074 and 3078 = 2

Step 1: Find the prime factorization of 3074

3074 = 2 x 29 x 53

Step 2: Find the prime factorization of 3078

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3074 and 3078 is 2