Greatest Common Factor of 1014 and 1019

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 1014, 1019 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1014 and 1019 is 1.

GCF(1014,1019) = 1

GCF of 1014 and 1019

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

GCF of:
and

Greatest Common Factor of 1014 and 1019

GCF of 1014 and 1019 is 1

Prime Factorization of 1014


2 1014
3 507
13 169
13 13
1

Prime factors of 1014 are 2,3,13. Prime factorization of 1014 in exponential form is:

1014 = 21×31×132

Prime Factorization of 1019


1019 1019
1

Prime factors of 1019 are 1019. Prime factorization of 1019 in exponential form is:

1019 = 10191

∴ So by taking common prime factors GCF of 1014 and 1019 is 1

Greatest Common Factor of 1014 and 1019 by matching factors method

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Factors of 1019

List of positive integer factors of 1019 that divides 1019 without a remainder.

1,1019

Greatest Common Factor

We found the factors and prime factorization of 1014 and 1019. The biggest common factor number is the GCF number.
So the greatest common factor 1014 and 1019 is 1.

Also check out the Least Common Multiple of 1014 and 1019

Properties of GCF 1014 and 1019

(i) The GCF of 1014 and 1019 is associative

GCF of 1014 and 1019 = GCF of 1019 and 1014

Related Greatest Common Factor of 1014

Related Greatest Common Factor of 1019

Frequently Asked Questions on GCF of 1014 and 1019

1. What is the GCF of 1014 and 1019?

Answer: GCF of 1014 and 1019 is 1.

2. What are the Factors of 1014?

Answer: Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. There are 12 integers that are factors of 1014. The greatest factor of 1014 is 1014.

3. What are the Factors of 1019?

Answer: Factors of 1019 are 1, 1019. There are 2 integers that are factors of 1019. The greatest factor of 1019 is 1019.

4. How to Find the GCF of 1014 and 1019?

Answer:

Greatest Common Factor of 1014 and 1019 = 1

Step 1: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 1019

1019 = 1019

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 1014 and 1019 is 1