Greatest Common Factor of 395 and 401

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

• Greatest Common Factor of 395 and 401 by prime factorization method
• Greatest Common Factor of 395 and 401 by matching factors method

Prime Factorization of 395

Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:

395 = 5¹×79¹

Prime Factorization of 401

Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:

401 = 401¹

∴ So by taking common prime factors GCF of 395 and 401 is 1

Factors of 395

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

1,5,79,395

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors and prime factorization of 395 and 401. The biggest common factor number is the GCF number.
So the greatest common factor 395 and 401 is 1.

Also check out the Least Common Multiple of 395 and 401

(i) The GCF of 395 and 401 is associative

GCF of 395 and 401 = GCF of 401 and 395

1. What is the GCF of 395 and 401?

Answer: GCF of 395 and 401 is 1.

2. 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.

3. What are the Factors of 401?

Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.

4. How to Find the GCF of 395 and 401?

Answer:

Greatest Common Factor of 395 and 401 = 1

Step 1: Find the prime factorization of 395

395 = 5 x 79

Step 2: Find the prime factorization of 401

401 = 401

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 395 and 401 is 1