Greatest Common Factor of 1014 and 1016

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, 1016 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1014 and 1016 is 2.

GCF(1014,1016) = 2

GCF of 1014 and 1016

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

GCF of:
and

Greatest Common Factor of 1014 and 1016

GCF of 1014 and 1016 is 2

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 1016


2 1016
2 508
2 254
127 127
1

Prime factors of 1016 are 2,127. Prime factorization of 1016 in exponential form is:

1016 = 23×1271

∴ So by taking common prime factors GCF of 1014 and 1016 is 2

Greatest Common Factor of 1014 and 1016 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 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

Greatest Common Factor

We found the factors and prime factorization of 1014 and 1016. The biggest common factor number is the GCF number.
So the greatest common factor 1014 and 1016 is 2.

Also check out the Least Common Multiple of 1014 and 1016

Properties of GCF 1014 and 1016

(i) The GCF of 1014 and 1016 is associative

GCF of 1014 and 1016 = GCF of 1016 and 1014

Related Greatest Common Factor of 1014

Related Greatest Common Factor of 1016

Frequently Asked Questions on GCF of 1014 and 1016

1. What is the GCF of 1014 and 1016?

Answer: GCF of 1014 and 1016 is 2.

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 1016?

Answer: Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016. There are 8 integers that are factors of 1016. The greatest factor of 1016 is 1016.

4. How to Find the GCF of 1014 and 1016?

Answer:

Greatest Common Factor of 1014 and 1016 = 2

Step 1: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

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 1014 and 1016 is 2