Greatest Common Factor of 3014 and 3018

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 3014, 3018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3014 and 3018 is 2.

GCF(3014,3018) = 2

GCF of 3014 and 3018

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

GCF of:
and

Greatest Common Factor of 3014 and 3018

GCF of 3014 and 3018 is 2

Prime Factorization of 3014


2 3014
11 1507
137 137
1

Prime factors of 3014 are 2,11,137. Prime factorization of 3014 in exponential form is:

3014 = 21×111×1371

Prime Factorization of 3018


2 3018
3 1509
503 503
1

Prime factors of 3018 are 2,3,503. Prime factorization of 3018 in exponential form is:

3018 = 21×31×5031

∴ So by taking common prime factors GCF of 3014 and 3018 is 2

Greatest Common Factor of 3014 and 3018 by matching factors method

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Factors of 3018

List of positive integer factors of 3018 that divides 3018 without a remainder.

1,2,3,6,503,1006,1509,3018

Greatest Common Factor

We found the factors and prime factorization of 3014 and 3018. The biggest common factor number is the GCF number.
So the greatest common factor 3014 and 3018 is 2.

Also check out the Least Common Multiple of 3014 and 3018

Properties of GCF 3014 and 3018

(i) The GCF of 3014 and 3018 is associative

GCF of 3014 and 3018 = GCF of 3018 and 3014

Related Greatest Common Factor of 3014

Related Greatest Common Factor of 3018

Frequently Asked Questions on GCF of 3014 and 3018

1. What is the GCF of 3014 and 3018?

Answer: GCF of 3014 and 3018 is 2.

2. What are the Factors of 3014?

Answer: Factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014. There are 8 integers that are factors of 3014. The greatest factor of 3014 is 3014.

3. What are the Factors of 3018?

Answer: Factors of 3018 are 1, 2, 3, 6, 503, 1006, 1509, 3018. There are 8 integers that are factors of 3018. The greatest factor of 3018 is 3018.

4. How to Find the GCF of 3014 and 3018?

Answer:

Greatest Common Factor of 3014 and 3018 = 2

Step 1: Find the prime factorization of 3014

3014 = 2 x 11 x 137

Step 2: Find the prime factorization of 3018

3018 = 2 x 3 x 503

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3014 and 3018 is 2