Greatest Common Factor of 9016 and 9022

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 9016, 9022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9016 and 9022 is 2.

GCF(9016,9022) = 2

GCF of 9016 and 9022

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

GCF of:
and

Greatest Common Factor of 9016 and 9022

GCF of 9016 and 9022 is 2

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

Prime Factorization of 9022


2 9022
13 4511
347 347
1

Prime factors of 9022 are 2,13,347. Prime factorization of 9022 in exponential form is:

9022 = 21×131×3471

∴ So by taking common prime factors GCF of 9016 and 9022 is 2

Greatest Common Factor of 9016 and 9022 by matching factors method

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

Factors of 9022

List of positive integer factors of 9022 that divides 9022 without a remainder.

1,2,13,26,347,694,4511,9022

Greatest Common Factor

We found the factors and prime factorization of 9016 and 9022. The biggest common factor number is the GCF number.
So the greatest common factor 9016 and 9022 is 2.

Also check out the Least Common Multiple of 9016 and 9022

Properties of GCF 9016 and 9022

(i) The GCF of 9016 and 9022 is associative

GCF of 9016 and 9022 = GCF of 9022 and 9016

Related Greatest Common Factor of 9016

Related Greatest Common Factor of 9022

Frequently Asked Questions on GCF of 9016 and 9022

1. What is the GCF of 9016 and 9022?

Answer: GCF of 9016 and 9022 is 2.

2. 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.

3. What are the Factors of 9022?

Answer: Factors of 9022 are 1, 2, 13, 26, 347, 694, 4511, 9022. There are 8 integers that are factors of 9022. The greatest factor of 9022 is 9022.

4. How to Find the GCF of 9016 and 9022?

Answer:

Greatest Common Factor of 9016 and 9022 = 2

Step 1: Find the prime factorization of 9016

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

Step 2: Find the prime factorization of 9022

9022 = 2 x 13 x 347

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 9016 and 9022 is 2