Greatest Common Factor of 3331 and 3332

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 3331, 3332 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3331 and 3332 is 1.

GCF(3331,3332) = 1

GCF of 3331 and 3332

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

GCF of:
and

Greatest Common Factor of 3331 and 3332

GCF of 3331 and 3332 is 1

Prime Factorization of 3331


3331 3331
1

Prime factors of 3331 are 3331. Prime factorization of 3331 in exponential form is:

3331 = 33311

Prime Factorization of 3332


2 3332
2 1666
7 833
7 119
17 17
1

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

3332 = 22×72×171

∴ So by taking common prime factors GCF of 3331 and 3332 is 1

Greatest Common Factor of 3331 and 3332 by matching factors method

Factors of 3331

List of positive integer factors of 3331 that divides 3331 without a remainder.

1,3331

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

Greatest Common Factor

We found the factors and prime factorization of 3331 and 3332. The biggest common factor number is the GCF number.
So the greatest common factor 3331 and 3332 is 1.

Also check out the Least Common Multiple of 3331 and 3332

Properties of GCF 3331 and 3332

(i) The GCF of 3331 and 3332 is associative

GCF of 3331 and 3332 = GCF of 3332 and 3331

Frequently Asked Questions on GCF of 3331 and 3332

1. What is the GCF of 3331 and 3332?

Answer: GCF of 3331 and 3332 is 1.

2. What are the Factors of 3331?

Answer: Factors of 3331 are 1, 3331. There are 2 integers that are factors of 3331. The greatest factor of 3331 is 3331.

3. 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.

4. How to Find the GCF of 3331 and 3332?

Answer:

Greatest Common Factor of 3331 and 3332 = 1

Step 1: Find the prime factorization of 3331

3331 = 3331

Step 2: Find the prime factorization of 3332

3332 = 2 x 2 x 7 x 7 x 17

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3331 and 3332 is 1