Greatest Common Factor of 395 and 403

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

• Greatest Common Factor of 395 and 403 by prime factorization method
• Greatest Common Factor of 395 and 403 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 403

Prime factors of 403 are 13,31. Prime factorization of 403 in exponential form is:

403 = 13¹×31¹

∴ So by taking common prime factors GCF of 395 and 403 is 1

Factors of 395

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

1,5,79,395

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors and prime factorization of 395 and 403. The biggest common factor number is the GCF number.
So the greatest common factor 395 and 403 is 1.

Also check out the Least Common Multiple of 395 and 403

(i) The GCF of 395 and 403 is associative

GCF of 395 and 403 = GCF of 403 and 395

1. What is the GCF of 395 and 403?

Answer: GCF of 395 and 403 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 403?

Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.

4. How to Find the GCF of 395 and 403?

Answer:

Greatest Common Factor of 395 and 403 = 1

Step 1: Find the prime factorization of 395

395 = 5 x 79

Step 2: Find the prime factorization of 403

403 = 13 x 31

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 403 is 1