Greatest Common Factor of 9026 and 9034

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, 9034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9026 and 9034 is 2.

GCF(9026,9034) = 2

GCF of 9026 and 9034

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

GCF of:
and

Greatest Common Factor of 9026 and 9034

GCF of 9026 and 9034 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 9034


2 9034
4517 4517
1

Prime factors of 9034 are 2,4517. Prime factorization of 9034 in exponential form is:

9034 = 21×45171

∴ So by taking common prime factors GCF of 9026 and 9034 is 2

Greatest Common Factor of 9026 and 9034 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 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1,2,4517,9034

Greatest Common Factor

We found the factors and prime factorization of 9026 and 9034. The biggest common factor number is the GCF number.
So the greatest common factor 9026 and 9034 is 2.

Also check out the Least Common Multiple of 9026 and 9034

Properties of GCF 9026 and 9034

(i) The GCF of 9026 and 9034 is associative

GCF of 9026 and 9034 = GCF of 9034 and 9026

Related Greatest Common Factor of 9026

Related Greatest Common Factor of 9034

Frequently Asked Questions on GCF of 9026 and 9034

1. What is the GCF of 9026 and 9034?

Answer: GCF of 9026 and 9034 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 9034?

Answer: Factors of 9034 are 1, 2, 4517, 9034. There are 4 integers that are factors of 9034. The greatest factor of 9034 is 9034.

4. How to Find the GCF of 9026 and 9034?

Answer:

Greatest Common Factor of 9026 and 9034 = 2

Step 1: Find the prime factorization of 9026

9026 = 2 x 4513

Step 2: Find the prime factorization of 9034

9034 = 2 x 4517

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 9034 is 2