Greatest Common Factor of 7001 and 7009

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

• Greatest Common Factor of 7001 and 7009 by prime factorization method
• Greatest Common Factor of 7001 and 7009 by matching factors method

Prime Factorization of 7001

Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:

7001 = 7001¹

Prime Factorization of 7009

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

7009 = 43¹×163¹

∴ So by taking common prime factors GCF of 7001 and 7009 is 1

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1,7001

Factors of 7009

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

1,43,163,7009

Greatest Common Factor

We found the factors and prime factorization of 7001 and 7009. The biggest common factor number is the GCF number.
So the greatest common factor 7001 and 7009 is 1.

Also check out the Least Common Multiple of 7001 and 7009

(i) The GCF of 7001 and 7009 is associative

GCF of 7001 and 7009 = GCF of 7009 and 7001

1. What is the GCF of 7001 and 7009?

Answer: GCF of 7001 and 7009 is 1.

2. What are the Factors of 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

3. 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.

4. How to Find the GCF of 7001 and 7009?

Answer:

Greatest Common Factor of 7001 and 7009 = 1

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7009

7009 = 43 x 163

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 7001 and 7009 is 1