Greatest Common Factor of 9012 and 9016

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 9012, 9016 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9012 and 9016 is 4.

GCF(9012,9016) = 4

GCF of 9012 and 9016

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

GCF of:
and

Greatest Common Factor of 9012 and 9016

GCF of 9012 and 9016 is 4

Prime Factorization of 9012


2 9012
2 4506
3 2253
751 751
1

Prime factors of 9012 are 2,3,751. Prime factorization of 9012 in exponential form is:

9012 = 22×31×7511

Prime Factorization of 9016


2 9016
2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 9016 are 2,7,23. Prime factorization of 9016 in exponential form is:

9016 = 23×72×231

∴ So by taking common prime factors GCF of 9012 and 9016 is 4

Greatest Common Factor of 9012 and 9016 by matching factors method

Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1,2,3,4,6,12,751,1502,2253,3004,4506,9012

Factors of 9016

List of positive integer factors of 9016 that divides 9016 without a remainder.

1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016

Greatest Common Factor

We found the factors and prime factorization of 9012 and 9016. The biggest common factor number is the GCF number.
So the greatest common factor 9012 and 9016 is 4.

Also check out the Least Common Multiple of 9012 and 9016

Properties of GCF 9012 and 9016

(i) The GCF of 9012 and 9016 is associative

GCF of 9012 and 9016 = GCF of 9016 and 9012

Related Greatest Common Factor of 9012

Related Greatest Common Factor of 9016

Frequently Asked Questions on GCF of 9012 and 9016

1. What is the GCF of 9012 and 9016?

Answer: GCF of 9012 and 9016 is 4.

2. What are the Factors of 9012?

Answer: Factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012. There are 12 integers that are factors of 9012. The greatest factor of 9012 is 9012.

3. What are the Factors of 9016?

Answer: Factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016. There are 24 integers that are factors of 9016. The greatest factor of 9016 is 9016.

4. How to Find the GCF of 9012 and 9016?

Answer:

Greatest Common Factor of 9012 and 9016 = 4

Step 1: Find the prime factorization of 9012

9012 = 2 x 2 x 3 x 751

Step 2: Find the prime factorization of 9016

9016 = 2 x 2 x 2 x 7 x 7 x 23

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 9012 and 9016 is 4