Greatest Common Factor of 9254 and 9258

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 9254, 9258 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9254 and 9258 is 2.

GCF(9254,9258) = 2

GCF of 9254 and 9258

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

GCF of:
and

Greatest Common Factor of 9254 and 9258

GCF of 9254 and 9258 is 2

Prime Factorization of 9254


2 9254
7 4627
661 661
1

Prime factors of 9254 are 2,7,661. Prime factorization of 9254 in exponential form is:

9254 = 21×71×6611

Prime Factorization of 9258


2 9258
3 4629
1543 1543
1

Prime factors of 9258 are 2,3,1543. Prime factorization of 9258 in exponential form is:

9258 = 21×31×15431

∴ So by taking common prime factors GCF of 9254 and 9258 is 2

Greatest Common Factor of 9254 and 9258 by matching factors method

Factors of 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1,2,7,14,661,1322,4627,9254

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1,2,3,6,1543,3086,4629,9258

Greatest Common Factor

We found the factors and prime factorization of 9254 and 9258. The biggest common factor number is the GCF number.
So the greatest common factor 9254 and 9258 is 2.

Also check out the Least Common Multiple of 9254 and 9258

Properties of GCF 9254 and 9258

(i) The GCF of 9254 and 9258 is associative

GCF of 9254 and 9258 = GCF of 9258 and 9254

Related Greatest Common Factor of 9254

Related Greatest Common Factor of 9258

Frequently Asked Questions on GCF of 9254 and 9258

1. What is the GCF of 9254 and 9258?

Answer: GCF of 9254 and 9258 is 2.

2. What are the Factors of 9254?

Answer: Factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254. There are 8 integers that are factors of 9254. The greatest factor of 9254 is 9254.

3. What are the Factors of 9258?

Answer: Factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258. There are 8 integers that are factors of 9258. The greatest factor of 9258 is 9258.

4. How to Find the GCF of 9254 and 9258?

Answer:

Greatest Common Factor of 9254 and 9258 = 2

Step 1: Find the prime factorization of 9254

9254 = 2 x 7 x 661

Step 2: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

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 9254 and 9258 is 2