Greatest Common Factor of 7009 and 7013

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

• Greatest Common Factor of 7009 and 7013 by prime factorization method
• Greatest Common Factor of 7009 and 7013 by matching factors method

Prime Factorization of 7009

Prime factors of 7009 are 43,163. Prime factorization of 7009 in exponential form is:

7009 = 43¹×163¹

Prime Factorization of 7013

Prime factors of 7013 are 7013. Prime factorization of 7013 in exponential form is:

7013 = 7013¹

∴ So by taking common prime factors GCF of 7009 and 7013 is 1

Factors of 7009

List of positive integer factors of 7009 that divides 7009 without a remainder.

1,43,163,7009

Factors of 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1,7013

Greatest Common Factor

We found the factors and prime factorization of 7009 and 7013. The biggest common factor number is the GCF number.
So the greatest common factor 7009 and 7013 is 1.

Also check out the Least Common Multiple of 7009 and 7013

(i) The GCF of 7009 and 7013 is associative

GCF of 7009 and 7013 = GCF of 7013 and 7009

1. What is the GCF of 7009 and 7013?

Answer: GCF of 7009 and 7013 is 1.

2. What are the Factors of 7009?

Answer: Factors of 7009 are 1, 43, 163, 7009. There are 4 integers that are factors of 7009. The greatest factor of 7009 is 7009.

3. What are the Factors of 7013?

Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.

4. How to Find the GCF of 7009 and 7013?

Answer:

Greatest Common Factor of 7009 and 7013 = 1

Step 1: Find the prime factorization of 7009

7009 = 43 x 163

Step 2: Find the prime factorization of 7013

7013 = 7013

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 7009 and 7013 is 1