Greatest Common Factor of 389 and 391

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

• Greatest Common Factor of 389 and 391 by prime factorization method
• Greatest Common Factor of 389 and 391 by matching factors method

Prime Factorization of 389

Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:

389 = 389¹

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 389 and 391 is 1

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

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 389 and 391. The biggest common factor number is the GCF number.
So the greatest common factor 389 and 391 is 1.

Also check out the Least Common Multiple of 389 and 391

(i) The GCF of 389 and 391 is associative

GCF of 389 and 391 = GCF of 391 and 389

1. What is the GCF of 389 and 391?

Answer: GCF of 389 and 391 is 1.

2. What are the Factors of 389?

Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.

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 389 and 391?

Answer:

Greatest Common Factor of 389 and 391 = 1

Step 1: Find the prime factorization of 389

389 = 389

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 389 and 391 is 1