Greatest Common Factor of 3332 and 3338

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 3332, 3338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3332 and 3338 is 2.

GCF(3332,3338) = 2

GCF of 3332 and 3338

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

GCF of:
and

Greatest Common Factor of 3332 and 3338

GCF of 3332 and 3338 is 2

Prime Factorization of 3332


2 3332
2 1666
7 833
7 119
17 17
1

Prime factors of 3332 are 2,7,17. Prime factorization of 3332 in exponential form is:

3332 = 22×72×171

Prime Factorization of 3338


2 3338
1669 1669
1

Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:

3338 = 21×16691

∴ So by taking common prime factors GCF of 3332 and 3338 is 2

Greatest Common Factor of 3332 and 3338 by matching factors method

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1,2,1669,3338

Greatest Common Factor

We found the factors and prime factorization of 3332 and 3338. The biggest common factor number is the GCF number.
So the greatest common factor 3332 and 3338 is 2.

Also check out the Least Common Multiple of 3332 and 3338

Properties of GCF 3332 and 3338

(i) The GCF of 3332 and 3338 is associative

GCF of 3332 and 3338 = GCF of 3338 and 3332

Related Greatest Common Factor of 3332

Related Greatest Common Factor of 3338

Frequently Asked Questions on GCF of 3332 and 3338

1. What is the GCF of 3332 and 3338?

Answer: GCF of 3332 and 3338 is 2.

2. What are the Factors of 3332?

Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.

3. What are the Factors of 3338?

Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.

4. How to Find the GCF of 3332 and 3338?

Answer:

Greatest Common Factor of 3332 and 3338 = 2

Step 1: Find the prime factorization of 3332

3332 = 2 x 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 3338

3338 = 2 x 1669

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 3332 and 3338 is 2