Greatest Common Factor of 3388 and 3395

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 3388, 3395 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3388 and 3395 is 7.

GCF(3388,3395) = 7

GCF of 3388 and 3395

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

GCF of:
and

Greatest Common Factor of 3388 and 3395

GCF of 3388 and 3395 is 7

Prime Factorization of 3388


2 3388
2 1694
7 847
11 121
11 11
1

Prime factors of 3388 are 2,7,11. Prime factorization of 3388 in exponential form is:

3388 = 22×71×112

Prime Factorization of 3395


5 3395
7 679
97 97
1

Prime factors of 3395 are 5,7,97. Prime factorization of 3395 in exponential form is:

3395 = 51×71×971

∴ So by taking common prime factors GCF of 3388 and 3395 is 7

Greatest Common Factor of 3388 and 3395 by matching factors method

Factors of 3388

List of positive integer factors of 3388 that divides 3388 without a remainder.

1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1,5,7,35,97,485,679,3395

Greatest Common Factor

We found the factors and prime factorization of 3388 and 3395. The biggest common factor number is the GCF number.
So the greatest common factor 3388 and 3395 is 7.

Also check out the Least Common Multiple of 3388 and 3395

Properties of GCF 3388 and 3395

(i) The GCF of 3388 and 3395 is associative

GCF of 3388 and 3395 = GCF of 3395 and 3388

Related Greatest Common Factor of 3388

Related Greatest Common Factor of 3395

Frequently Asked Questions on GCF of 3388 and 3395

1. What is the GCF of 3388 and 3395?

Answer: GCF of 3388 and 3395 is 7.

2. What are the Factors of 3388?

Answer: Factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388. There are 18 integers that are factors of 3388. The greatest factor of 3388 is 3388.

3. What are the Factors of 3395?

Answer: Factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395. There are 8 integers that are factors of 3395. The greatest factor of 3395 is 3395.

4. How to Find the GCF of 3388 and 3395?

Answer:

Greatest Common Factor of 3388 and 3395 = 7

Step 1: Find the prime factorization of 3388

3388 = 2 x 2 x 7 x 11 x 11

Step 2: Find the prime factorization of 3395

3395 = 5 x 7 x 97

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3388 and 3395 is 7