Greatest Common Factor of 3015 and 3021

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, 3021 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3015 and 3021 is 3.

GCF(3015,3021) = 3

GCF of 3015 and 3021

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

GCF of:
and

Greatest Common Factor of 3015 and 3021

GCF of 3015 and 3021 is 3

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 3021


3 3021
19 1007
53 53
1

Prime factors of 3021 are 3,19,53. Prime factorization of 3021 in exponential form is:

3021 = 31×191×531

∴ So by taking common prime factors GCF of 3015 and 3021 is 3

Greatest Common Factor of 3015 and 3021 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 3021

List of positive integer factors of 3021 that divides 3021 without a remainder.

1,3,19,53,57,159,1007,3021

Greatest Common Factor

We found the factors and prime factorization of 3015 and 3021. The biggest common factor number is the GCF number.
So the greatest common factor 3015 and 3021 is 3.

Also check out the Least Common Multiple of 3015 and 3021

Properties of GCF 3015 and 3021

(i) The GCF of 3015 and 3021 is associative

GCF of 3015 and 3021 = GCF of 3021 and 3015

Related Greatest Common Factor of 3015

Related Greatest Common Factor of 3021

Frequently Asked Questions on GCF of 3015 and 3021

1. What is the GCF of 3015 and 3021?

Answer: GCF of 3015 and 3021 is 3.

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 3021?

Answer: Factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021. There are 8 integers that are factors of 3021. The greatest factor of 3021 is 3021.

4. How to Find the GCF of 3015 and 3021?

Answer:

Greatest Common Factor of 3015 and 3021 = 3

Step 1: Find the prime factorization of 3015

3015 = 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 3021

3021 = 3 x 19 x 53

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3015 and 3021 is 3