Greatest Common Factor of 4009 and 4013

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

• Greatest Common Factor of 4009 and 4013 by prime factorization method
• Greatest Common Factor of 4009 and 4013 by matching factors method

Prime Factorization of 4009

Prime factors of 4009 are 19,211. Prime factorization of 4009 in exponential form is:

4009 = 19¹×211¹

Prime Factorization of 4013

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 4013¹

∴ So by taking common prime factors GCF of 4009 and 4013 is 1

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1,4013

Greatest Common Factor

We found the factors and prime factorization of 4009 and 4013. The biggest common factor number is the GCF number.
So the greatest common factor 4009 and 4013 is 1.

Also check out the Least Common Multiple of 4009 and 4013

(i) The GCF of 4009 and 4013 is associative

GCF of 4009 and 4013 = GCF of 4013 and 4009

1. What is the GCF of 4009 and 4013?

Answer: GCF of 4009 and 4013 is 1.

2. What are the Factors of 4009?

Answer: Factors of 4009 are 1, 19, 211, 4009. There are 4 integers that are factors of 4009. The greatest factor of 4009 is 4009.

3. What are the Factors of 4013?

Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.

4. How to Find the GCF of 4009 and 4013?

Answer:

Greatest Common Factor of 4009 and 4013 = 1

Step 1: Find the prime factorization of 4009

4009 = 19 x 211

Step 2: Find the prime factorization of 4013

4013 = 4013

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 4009 and 4013 is 1