Greatest Common Factor of 3005 and 3007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3005, 3007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3005 and 3007 is 1.

GCF(3005,3007) = 1

GCF of 3005 and 3007

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

GCF of:
and

Greatest Common Factor of 3005 and 3007

GCF of 3005 and 3007 is 1

Prime Factorization of 3005


5 3005
601 601
1

Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:

3005 = 51×6011

Prime Factorization of 3007


31 3007
97 97
1

Prime factors of 3007 are 31,97. Prime factorization of 3007 in exponential form is:

3007 = 311×971

∴ So by taking common prime factors GCF of 3005 and 3007 is 1

Greatest Common Factor of 3005 and 3007 by matching factors method

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1,5,601,3005

Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1,31,97,3007

Greatest Common Factor

We found the factors and prime factorization of 3005 and 3007. The biggest common factor number is the GCF number.
So the greatest common factor 3005 and 3007 is 1.

Also check out the Least Common Multiple of 3005 and 3007

Properties of GCF 3005 and 3007

(i) The GCF of 3005 and 3007 is associative

GCF of 3005 and 3007 = GCF of 3007 and 3005

Related Greatest Common Factor of 3005

Related Greatest Common Factor of 3007

Frequently Asked Questions on GCF of 3005 and 3007

1. What is the GCF of 3005 and 3007?

Answer: GCF of 3005 and 3007 is 1.

2. What are the Factors of 3005?

Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.

3. What are the Factors of 3007?

Answer: Factors of 3007 are 1, 31, 97, 3007. There are 4 integers that are factors of 3007. The greatest factor of 3007 is 3007.

4. How to Find the GCF of 3005 and 3007?

Answer:

Greatest Common Factor of 3005 and 3007 = 1

Step 1: Find the prime factorization of 3005

3005 = 5 x 601

Step 2: Find the prime factorization of 3007

3007 = 31 x 97

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 3005 and 3007 is 1