Greatest Common Factor of 3072 and 3074

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 3072, 3074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3072 and 3074 is 2.

GCF(3072,3074) = 2

GCF of 3072 and 3074

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

GCF of:
and

Greatest Common Factor of 3072 and 3074

GCF of 3072 and 3074 is 2

Prime Factorization of 3072


2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 3072 are 2,3. Prime factorization of 3072 in exponential form is:

3072 = 210×31

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

∴ So by taking common prime factors GCF of 3072 and 3074 is 2

Greatest Common Factor of 3072 and 3074 by matching factors method

Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072

Factors of 3074

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

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

Greatest Common Factor

We found the factors and prime factorization of 3072 and 3074. The biggest common factor number is the GCF number.
So the greatest common factor 3072 and 3074 is 2.

Also check out the Least Common Multiple of 3072 and 3074

Properties of GCF 3072 and 3074

(i) The GCF of 3072 and 3074 is associative

GCF of 3072 and 3074 = GCF of 3074 and 3072

Related Greatest Common Factor of 3072

Related Greatest Common Factor of 3074

Frequently Asked Questions on GCF of 3072 and 3074

1. What is the GCF of 3072 and 3074?

Answer: GCF of 3072 and 3074 is 2.

2. What are the Factors of 3072?

Answer: Factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072. There are 22 integers that are factors of 3072. The greatest factor of 3072 is 3072.

3. 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.

4. How to Find the GCF of 3072 and 3074?

Answer:

Greatest Common Factor of 3072 and 3074 = 2

Step 1: Find the prime factorization of 3072

3072 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 3074

3074 = 2 x 29 x 53

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 3072 and 3074 is 2