Greatest Common Factor of 331 and 332

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 331, 332 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 331 and 332 is 1.

GCF(331,332) = 1

GCF of 331 and 332

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

GCF of:
and

Greatest Common Factor of 331 and 332

GCF of 331 and 332 is 1

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Prime Factorization of 332


2 332
2 166
83 83
1

Prime factors of 332 are 2.Prime factorization of 332 in exponential form is:

332 = 22×831

∴ So by taking common prime factors GCF of 331 and 332 is 1

Greatest Common Factor of 331 and 332 by matching factors method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors and prime factorization of 331 and 332. The biggest common factor number is the GCF number.
So the greatest common factor 331 and 332 is 1.

Also check out the Least Common Multiple of 331 and 332

Properties of GCF 331 and 332

(i) The GCF of 331 and 332 is associative

GCF of 331 and 332 = GCF of 332 and 331

Frequently Asked Questions on GCF of 331 and 332

1. What is the GCF of 331 and 332?

Answer: GCF of 331 and 332 is 1.

2. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

3. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the GCF of 331 and 332?

Answer:

Greatest Common Factor of 331 and 332 = 1

Step 1: Find the prime factorization of 331

331 = 331

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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 331 and 332 is 1