Greatest Common Factor of 27012 and 27016

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 27012, 27016 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27012 and 27016 is 4.

GCF(27012,27016) = 4

GCF of 27012 and 27016

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

GCF of:
and

Greatest Common Factor of 27012 and 27016

GCF of 27012 and 27016 is 4

Prime Factorization of 27012


2 27012
2 13506
3 6753
2251 2251
1

Prime factors of 27012 are 2,3,2251. Prime factorization of 27012 in exponential form is:

27012 = 22×31×22511

Prime Factorization of 27016


2 27016
2 13508
2 6754
11 3377
307 307
1

Prime factors of 27016 are 2,11,307. Prime factorization of 27016 in exponential form is:

27016 = 23×111×3071

∴ So by taking common prime factors GCF of 27012 and 27016 is 4

Greatest Common Factor of 27012 and 27016 by matching factors method

Factors of 27012

List of positive integer factors of 27012 that divides 27012 without a remainder.

1,2,3,4,6,12,2251,4502,6753,9004,13506,27012

Factors of 27016

List of positive integer factors of 27016 that divides 27016 without a remainder.

1,2,4,8,11,22,44,88,307,614,1228,2456,3377,6754,13508,27016

Greatest Common Factor

We found the factors and prime factorization of 27012 and 27016. The biggest common factor number is the GCF number.
So the greatest common factor 27012 and 27016 is 4.

Also check out the Least Common Multiple of 27012 and 27016

Properties of GCF 27012 and 27016

(i) The GCF of 27012 and 27016 is associative

GCF of 27012 and 27016 = GCF of 27016 and 27012

Related Greatest Common Factor of 27012

Related Greatest Common Factor of 27016

Frequently Asked Questions on GCF of 27012 and 27016

1. What is the GCF of 27012 and 27016?

Answer: GCF of 27012 and 27016 is 4.

2. What are the Factors of 27012?

Answer: Factors of 27012 are 1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506, 27012. There are 12 integers that are factors of 27012. The greatest factor of 27012 is 27012.

3. What are the Factors of 27016?

Answer: Factors of 27016 are 1, 2, 4, 8, 11, 22, 44, 88, 307, 614, 1228, 2456, 3377, 6754, 13508, 27016. There are 16 integers that are factors of 27016. The greatest factor of 27016 is 27016.

4. How to Find the GCF of 27012 and 27016?

Answer:

Greatest Common Factor of 27012 and 27016 = 4

Step 1: Find the prime factorization of 27012

27012 = 2 x 2 x 3 x 2251

Step 2: Find the prime factorization of 27016

27016 = 2 x 2 x 2 x 11 x 307

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 27012 and 27016 is 4