Greatest Common Factor of 389 and 395

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

• Greatest Common Factor of 389 and 395 by prime factorization method
• Greatest Common Factor of 389 and 395 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 395

Prime factors of 395 are 5.Prime factorization of 395 in exponential form is:

395 = 5¹×79¹

∴ So by taking common prime factors GCF of 389 and 395 is 1

Factors of 389

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

1,389

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors and prime factorization of 389 and 395. The biggest common factor number is the GCF number.
So the greatest common factor 389 and 395 is 1.

Also check out the Least Common Multiple of 389 and 395

(i) The GCF of 389 and 395 is associative

GCF of 389 and 395 = GCF of 395 and 389

1. What is the GCF of 389 and 395?

Answer: GCF of 389 and 395 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 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

4. How to Find the GCF of 389 and 395?

Answer:

Greatest Common Factor of 389 and 395 = 1

Step 1: Find the prime factorization of 389

389 = 389

Step 2: Find the prime factorization of 395

395 = 5 x 79

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 395 is 1