Greatest Common Factor of 2015 and 2017

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

• Greatest Common Factor of 2015 and 2017 by prime factorization method
• Greatest Common Factor of 2015 and 2017 by matching factors method

Prime Factorization of 2015

Prime factors of 2015 are 5,13,31. Prime factorization of 2015 in exponential form is:

2015 = 5¹×13¹×31¹

Prime Factorization of 2017

Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:

2017 = 2017¹

∴ So by taking common prime factors GCF of 2015 and 2017 is 1

Factors of 2015

List of positive integer factors of 2015 that divides 2015 without a remainder.

1,5,13,31,65,155,403,2015

Factors of 2017

List of positive integer factors of 2017 that divides 2017 without a remainder.

1,2017

Greatest Common Factor

We found the factors and prime factorization of 2015 and 2017. The biggest common factor number is the GCF number.
So the greatest common factor 2015 and 2017 is 1.

Also check out the Least Common Multiple of 2015 and 2017

(i) The GCF of 2015 and 2017 is associative

GCF of 2015 and 2017 = GCF of 2017 and 2015

1. What is the GCF of 2015 and 2017?

Answer: GCF of 2015 and 2017 is 1.

2. What are the Factors of 2015?

Answer: Factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015. There are 8 integers that are factors of 2015. The greatest factor of 2015 is 2015.

3. What are the Factors of 2017?

Answer: Factors of 2017 are 1, 2017. There are 2 integers that are factors of 2017. The greatest factor of 2017 is 2017.

4. How to Find the GCF of 2015 and 2017?

Answer:

Greatest Common Factor of 2015 and 2017 = 1

Step 1: Find the prime factorization of 2015

2015 = 5 x 13 x 31

Step 2: Find the prime factorization of 2017

2017 = 2017

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 2015 and 2017 is 1