Greatest Common Factor of 9016 and 9023

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, 9023 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9016 and 9023 is 7.

GCF(9016,9023) = 7

GCF of 9016 and 9023

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

GCF of:
and

Greatest Common Factor of 9016 and 9023

GCF of 9016 and 9023 is 7

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 9023


7 9023
1289 1289
1

Prime factors of 9023 are 7,1289. Prime factorization of 9023 in exponential form is:

9023 = 71×12891

∴ So by taking common prime factors GCF of 9016 and 9023 is 7

Greatest Common Factor of 9016 and 9023 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 9023

List of positive integer factors of 9023 that divides 9023 without a remainder.

1,7,1289,9023

Greatest Common Factor

We found the factors and prime factorization of 9016 and 9023. The biggest common factor number is the GCF number.
So the greatest common factor 9016 and 9023 is 7.

Also check out the Least Common Multiple of 9016 and 9023

Properties of GCF 9016 and 9023

(i) The GCF of 9016 and 9023 is associative

GCF of 9016 and 9023 = GCF of 9023 and 9016

Related Greatest Common Factor of 9016

Related Greatest Common Factor of 9023

Frequently Asked Questions on GCF of 9016 and 9023

1. What is the GCF of 9016 and 9023?

Answer: GCF of 9016 and 9023 is 7.

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 9023?

Answer: Factors of 9023 are 1, 7, 1289, 9023. There are 4 integers that are factors of 9023. The greatest factor of 9023 is 9023.

4. How to Find the GCF of 9016 and 9023?

Answer:

Greatest Common Factor of 9016 and 9023 = 7

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 9023

9023 = 7 x 1289

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9016 and 9023 is 7