Greatest Common Factor of 6001 and 6007

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

• Greatest Common Factor of 6001 and 6007 by prime factorization method
• Greatest Common Factor of 6001 and 6007 by matching factors method

Prime Factorization of 6001

Prime factors of 6001 are 17,353. Prime factorization of 6001 in exponential form is:

6001 = 17¹×353¹

Prime Factorization of 6007

Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:

6007 = 6007¹

∴ So by taking common prime factors GCF of 6001 and 6007 is 1

Factors of 6001

List of positive integer factors of 6001 that divides 6001 without a remainder.

1,17,353,6001

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1,6007

Greatest Common Factor

We found the factors and prime factorization of 6001 and 6007. The biggest common factor number is the GCF number.
So the greatest common factor 6001 and 6007 is 1.

Also check out the Least Common Multiple of 6001 and 6007

(i) The GCF of 6001 and 6007 is associative

GCF of 6001 and 6007 = GCF of 6007 and 6001

1. What is the GCF of 6001 and 6007?

Answer: GCF of 6001 and 6007 is 1.

2. What are the Factors of 6001?

Answer: Factors of 6001 are 1, 17, 353, 6001. There are 4 integers that are factors of 6001. The greatest factor of 6001 is 6001.

3. What are the Factors of 6007?

Answer: Factors of 6007 are 1, 6007. There are 2 integers that are factors of 6007. The greatest factor of 6007 is 6007.

4. How to Find the GCF of 6001 and 6007?

Answer:

Greatest Common Factor of 6001 and 6007 = 1

Step 1: Find the prime factorization of 6001

6001 = 17 x 353

Step 2: Find the prime factorization of 6007

6007 = 6007

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 6001 and 6007 is 1