Greatest Common Factor of 9252 and 9254

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 9252, 9254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9252 and 9254 is 2.

GCF(9252,9254) = 2

GCF of 9252 and 9254

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

GCF of:
and

Greatest Common Factor of 9252 and 9254

GCF of 9252 and 9254 is 2

Prime Factorization of 9252


2 9252
2 4626
3 2313
3 771
257 257
1

Prime factors of 9252 are 2,3,257. Prime factorization of 9252 in exponential form is:

9252 = 22×32×2571

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

∴ So by taking common prime factors GCF of 9252 and 9254 is 2

Greatest Common Factor of 9252 and 9254 by matching factors method

Factors of 9252

List of positive integer factors of 9252 that divides 9252 without a remainder.

1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252

Factors of 9254

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

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

Greatest Common Factor

We found the factors and prime factorization of 9252 and 9254. The biggest common factor number is the GCF number.
So the greatest common factor 9252 and 9254 is 2.

Also check out the Least Common Multiple of 9252 and 9254

Properties of GCF 9252 and 9254

(i) The GCF of 9252 and 9254 is associative

GCF of 9252 and 9254 = GCF of 9254 and 9252

Related Greatest Common Factor of 9252

Related Greatest Common Factor of 9254

Frequently Asked Questions on GCF of 9252 and 9254

1. What is the GCF of 9252 and 9254?

Answer: GCF of 9252 and 9254 is 2.

2. What are the Factors of 9252?

Answer: Factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252. There are 18 integers that are factors of 9252. The greatest factor of 9252 is 9252.

3. 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.

4. How to Find the GCF of 9252 and 9254?

Answer:

Greatest Common Factor of 9252 and 9254 = 2

Step 1: Find the prime factorization of 9252

9252 = 2 x 2 x 3 x 3 x 257

Step 2: Find the prime factorization of 9254

9254 = 2 x 7 x 661

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 9252 and 9254 is 2