Greatest Common Factor of 3015 and 3020

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 3015, 3020 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3015 and 3020 is 5.

GCF(3015,3020) = 5

GCF of 3015 and 3020

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

GCF of:
and

Greatest Common Factor of 3015 and 3020

GCF of 3015 and 3020 is 5

Prime Factorization of 3015


3 3015
3 1005
5 335
67 67
1

Prime factors of 3015 are 3,5,67. Prime factorization of 3015 in exponential form is:

3015 = 32×51×671

Prime Factorization of 3020


2 3020
2 1510
5 755
151 151
1

Prime factors of 3020 are 2,5,151. Prime factorization of 3020 in exponential form is:

3020 = 22×51×1511

∴ So by taking common prime factors GCF of 3015 and 3020 is 5

Greatest Common Factor of 3015 and 3020 by matching factors method

Factors of 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1,3,5,9,15,45,67,201,335,603,1005,3015

Factors of 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

Greatest Common Factor

We found the factors and prime factorization of 3015 and 3020. The biggest common factor number is the GCF number.
So the greatest common factor 3015 and 3020 is 5.

Also check out the Least Common Multiple of 3015 and 3020

Properties of GCF 3015 and 3020

(i) The GCF of 3015 and 3020 is associative

GCF of 3015 and 3020 = GCF of 3020 and 3015

Related Greatest Common Factor of 3015

Related Greatest Common Factor of 3020

Frequently Asked Questions on GCF of 3015 and 3020

1. What is the GCF of 3015 and 3020?

Answer: GCF of 3015 and 3020 is 5.

2. What are the Factors of 3015?

Answer: Factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015. There are 12 integers that are factors of 3015. The greatest factor of 3015 is 3015.

3. What are the Factors of 3020?

Answer: Factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020. There are 12 integers that are factors of 3020. The greatest factor of 3020 is 3020.

4. How to Find the GCF of 3015 and 3020?

Answer:

Greatest Common Factor of 3015 and 3020 = 5

Step 1: Find the prime factorization of 3015

3015 = 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 3020

3020 = 2 x 2 x 5 x 151

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 3015 and 3020 is 5