Greatest Common Factor of 401 and 409

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

• Greatest Common Factor of 401 and 409 by prime factorization method
• Greatest Common Factor of 401 and 409 by matching factors method

Prime Factorization of 401

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

401 = 401¹

Prime Factorization of 409

Prime factors of 409 are 409.Prime factorization of 409 in exponential form is:

409 = 409¹

∴ So by taking common prime factors GCF of 401 and 409 is 1

Factors of 401

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

1,401

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors and prime factorization of 401 and 409. The biggest common factor number is the GCF number.
So the greatest common factor 401 and 409 is 1.

Also check out the Least Common Multiple of 401 and 409

(i) The GCF of 401 and 409 is associative

GCF of 401 and 409 = GCF of 409 and 401

1. What is the GCF of 401 and 409?

Answer: GCF of 401 and 409 is 1.

2. 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.

3. What are the Factors of 409?

Answer: Factors of 409 are 1, 409. There are 2 integers that are factors of 409. The greatest factor of 409 is 409.

4. How to Find the GCF of 401 and 409?

Answer:

Greatest Common Factor of 401 and 409 = 1

Step 1: Find the prime factorization of 401

401 = 401

Step 2: Find the prime factorization of 409

409 = 409

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 401 and 409 is 1