Greatest Common Factor of 9026 and 9032

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 9026, 9032 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9026 and 9032 is 2.

GCF(9026,9032) = 2

GCF of 9026 and 9032

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

GCF of:
and

Greatest Common Factor of 9026 and 9032

GCF of 9026 and 9032 is 2

Prime Factorization of 9026


2 9026
4513 4513
1

Prime factors of 9026 are 2,4513. Prime factorization of 9026 in exponential form is:

9026 = 21×45131

Prime Factorization of 9032


2 9032
2 4516
2 2258
1129 1129
1

Prime factors of 9032 are 2,1129. Prime factorization of 9032 in exponential form is:

9032 = 23×11291

∴ So by taking common prime factors GCF of 9026 and 9032 is 2

Greatest Common Factor of 9026 and 9032 by matching factors method

Factors of 9026

List of positive integer factors of 9026 that divides 9026 without a remainder.

1,2,4513,9026

Factors of 9032

List of positive integer factors of 9032 that divides 9032 without a remainder.

1,2,4,8,1129,2258,4516,9032

Greatest Common Factor

We found the factors and prime factorization of 9026 and 9032. The biggest common factor number is the GCF number.
So the greatest common factor 9026 and 9032 is 2.

Also check out the Least Common Multiple of 9026 and 9032

Properties of GCF 9026 and 9032

(i) The GCF of 9026 and 9032 is associative

GCF of 9026 and 9032 = GCF of 9032 and 9026

Related Greatest Common Factor of 9026

Related Greatest Common Factor of 9032

Frequently Asked Questions on GCF of 9026 and 9032

1. What is the GCF of 9026 and 9032?

Answer: GCF of 9026 and 9032 is 2.

2. What are the Factors of 9026?

Answer: Factors of 9026 are 1, 2, 4513, 9026. There are 4 integers that are factors of 9026. The greatest factor of 9026 is 9026.

3. What are the Factors of 9032?

Answer: Factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032. There are 8 integers that are factors of 9032. The greatest factor of 9032 is 9032.

4. How to Find the GCF of 9026 and 9032?

Answer:

Greatest Common Factor of 9026 and 9032 = 2

Step 1: Find the prime factorization of 9026

9026 = 2 x 4513

Step 2: Find the prime factorization of 9032

9032 = 2 x 2 x 2 x 1129

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 9026 and 9032 is 2