Greatest Common Factor of 9252 and 9259

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, 9259 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9252 and 9259 is 1.

GCF(9252,9259) = 1

GCF of 9252 and 9259

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

GCF of:
and

Greatest Common Factor of 9252 and 9259

GCF of 9252 and 9259 is 1

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 9259


47 9259
197 197
1

Prime factors of 9259 are 47,197. Prime factorization of 9259 in exponential form is:

9259 = 471×1971

∴ So by taking common prime factors GCF of 9252 and 9259 is 1

Greatest Common Factor of 9252 and 9259 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 9259

List of positive integer factors of 9259 that divides 9259 without a remainder.

1,47,197,9259

Greatest Common Factor

We found the factors and prime factorization of 9252 and 9259. The biggest common factor number is the GCF number.
So the greatest common factor 9252 and 9259 is 1.

Also check out the Least Common Multiple of 9252 and 9259

Properties of GCF 9252 and 9259

(i) The GCF of 9252 and 9259 is associative

GCF of 9252 and 9259 = GCF of 9259 and 9252

Related Greatest Common Factor of 9252

Related Greatest Common Factor of 9259

Frequently Asked Questions on GCF of 9252 and 9259

1. What is the GCF of 9252 and 9259?

Answer: GCF of 9252 and 9259 is 1.

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 9259?

Answer: Factors of 9259 are 1, 47, 197, 9259. There are 4 integers that are factors of 9259. The greatest factor of 9259 is 9259.

4. How to Find the GCF of 9252 and 9259?

Answer:

Greatest Common Factor of 9252 and 9259 = 1

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 9259

9259 = 47 x 197

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9252 and 9259 is 1