Greatest Common Factor of 3080 and 3088

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 3080, 3088 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3080 and 3088 is 8.

GCF(3080,3088) = 8

GCF of 3080 and 3088

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

GCF of:
and

Greatest Common Factor of 3080 and 3088

GCF of 3080 and 3088 is 8

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

Prime Factorization of 3088


2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 3088 are 2,193. Prime factorization of 3088 in exponential form is:

3088 = 24×1931

∴ So by taking common prime factors GCF of 3080 and 3088 is 8

Greatest Common Factor of 3080 and 3088 by matching factors method

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

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

1,2,4,8,16,193,386,772,1544,3088

Greatest Common Factor

We found the factors and prime factorization of 3080 and 3088. The biggest common factor number is the GCF number.
So the greatest common factor 3080 and 3088 is 8.

Also check out the Least Common Multiple of 3080 and 3088

Properties of GCF 3080 and 3088

(i) The GCF of 3080 and 3088 is associative

GCF of 3080 and 3088 = GCF of 3088 and 3080

Related Greatest Common Factor of 3080

Related Greatest Common Factor of 3088

Frequently Asked Questions on GCF of 3080 and 3088

1. What is the GCF of 3080 and 3088?

Answer: GCF of 3080 and 3088 is 8.

2. 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.

3. What are the Factors of 3088?

Answer: Factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088. There are 10 integers that are factors of 3088. The greatest factor of 3088 is 3088.

4. How to Find the GCF of 3080 and 3088?

Answer:

Greatest Common Factor of 3080 and 3088 = 8

Step 1: Find the prime factorization of 3080

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

Step 2: Find the prime factorization of 3088

3088 = 2 x 2 x 2 x 2 x 193

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 3080 and 3088 is 8