Greatest Common Factor of 383 and 391

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

• Greatest Common Factor of 383 and 391 by prime factorization method
• Greatest Common Factor of 383 and 391 by matching factors method

Prime Factorization of 383

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 383¹

Prime Factorization of 391

Prime factors of 391 are 17.Prime factorization of 391 in exponential form is:

391 = 17¹×23¹

∴ So by taking common prime factors GCF of 383 and 391 is 1

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors and prime factorization of 383 and 391. The biggest common factor number is the GCF number.
So the greatest common factor 383 and 391 is 1.

Also check out the Least Common Multiple of 383 and 391

(i) The GCF of 383 and 391 is associative

GCF of 383 and 391 = GCF of 391 and 383

1. What is the GCF of 383 and 391?

Answer: GCF of 383 and 391 is 1.

2. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

3. What are the Factors of 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

4. How to Find the GCF of 383 and 391?

Answer:

Greatest Common Factor of 383 and 391 = 1

Step 1: Find the prime factorization of 383

383 = 383

Step 2: Find the prime factorization of 391

391 = 17 x 23

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 383 and 391 is 1