Greatest Common Factor of 3072 and 3080

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, 3080 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3072 and 3080 is 8.

GCF(3072,3080) = 8

GCF of 3072 and 3080

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

GCF of:
and

Greatest Common Factor of 3072 and 3080

GCF of 3072 and 3080 is 8

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 3080


2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 3080 are 2,5,7,11. Prime factorization of 3080 in exponential form is:

3080 = 23×51×71×111

∴ So by taking common prime factors GCF of 3072 and 3080 is 8

Greatest Common Factor of 3072 and 3080 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 3080

List of positive integer factors of 3080 that divides 3080 without a remainder.

1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080

Greatest Common Factor

We found the factors and prime factorization of 3072 and 3080. The biggest common factor number is the GCF number.
So the greatest common factor 3072 and 3080 is 8.

Also check out the Least Common Multiple of 3072 and 3080

Properties of GCF 3072 and 3080

(i) The GCF of 3072 and 3080 is associative

GCF of 3072 and 3080 = GCF of 3080 and 3072

Related Greatest Common Factor of 3072

Related Greatest Common Factor of 3080

Frequently Asked Questions on GCF of 3072 and 3080

1. What is the GCF of 3072 and 3080?

Answer: GCF of 3072 and 3080 is 8.

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 3080?

Answer: Factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080. There are 32 integers that are factors of 3080. The greatest factor of 3080 is 3080.

4. How to Find the GCF of 3072 and 3080?

Answer:

Greatest Common Factor of 3072 and 3080 = 8

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 3080

3080 = 2 x 2 x 2 x 5 x 7 x 11

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3072 and 3080 is 8