Greatest Common Factor of 2015 and 2023

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

• Greatest Common Factor of 2015 and 2023 by prime factorization method
• Greatest Common Factor of 2015 and 2023 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 2023

Prime factors of 2023 are 7,17. Prime factorization of 2023 in exponential form is:

2023 = 7¹×17²

∴ So by taking common prime factors GCF of 2015 and 2023 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 2023

List of positive integer factors of 2023 that divides 2023 without a remainder.

1,7,17,119,289,2023

Greatest Common Factor

We found the factors and prime factorization of 2015 and 2023. The biggest common factor number is the GCF number.
So the greatest common factor 2015 and 2023 is 1.

Also check out the Least Common Multiple of 2015 and 2023

(i) The GCF of 2015 and 2023 is associative

GCF of 2015 and 2023 = GCF of 2023 and 2015

1. What is the GCF of 2015 and 2023?

Answer: GCF of 2015 and 2023 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 2023?

Answer: Factors of 2023 are 1, 7, 17, 119, 289, 2023. There are 6 integers that are factors of 2023. The greatest factor of 2023 is 2023.

4. How to Find the GCF of 2015 and 2023?

Answer:

Greatest Common Factor of 2015 and 2023 = 1

Step 1: Find the prime factorization of 2015

2015 = 5 x 13 x 31

Step 2: Find the prime factorization of 2023

2023 = 7 x 17 x 17

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 2023 is 1