Greatest Common Factor of 3382 and 3388

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 3382, 3388 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3382 and 3388 is 2.

GCF(3382,3388) = 2

GCF of 3382 and 3388

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

GCF of:
and

Greatest Common Factor of 3382 and 3388

GCF of 3382 and 3388 is 2

Prime Factorization of 3382


2 3382
19 1691
89 89
1

Prime factors of 3382 are 2,19,89. Prime factorization of 3382 in exponential form is:

3382 = 21×191×891

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

∴ So by taking common prime factors GCF of 3382 and 3388 is 2

Greatest Common Factor of 3382 and 3388 by matching factors method

Factors of 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1,2,19,38,89,178,1691,3382

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

Greatest Common Factor

We found the factors and prime factorization of 3382 and 3388. The biggest common factor number is the GCF number.
So the greatest common factor 3382 and 3388 is 2.

Also check out the Least Common Multiple of 3382 and 3388

Properties of GCF 3382 and 3388

(i) The GCF of 3382 and 3388 is associative

GCF of 3382 and 3388 = GCF of 3388 and 3382

Related Greatest Common Factor of 3382

Related Greatest Common Factor of 3388

Frequently Asked Questions on GCF of 3382 and 3388

1. What is the GCF of 3382 and 3388?

Answer: GCF of 3382 and 3388 is 2.

2. What are the Factors of 3382?

Answer: Factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382. There are 8 integers that are factors of 3382. The greatest factor of 3382 is 3382.

3. 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.

4. How to Find the GCF of 3382 and 3388?

Answer:

Greatest Common Factor of 3382 and 3388 = 2

Step 1: Find the prime factorization of 3382

3382 = 2 x 19 x 89

Step 2: Find the prime factorization of 3388

3388 = 2 x 2 x 7 x 11 x 11

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 3382 and 3388 is 2