Greatest Common Factor of 9497 and 9504

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 9497, 9504 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9497 and 9504 is 1.

GCF(9497,9504) = 1

GCF of 9497 and 9504

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

GCF of:
and

Greatest Common Factor of 9497 and 9504

GCF of 9497 and 9504 is 1

Prime Factorization of 9497


9497 9497
1

Prime factors of 9497 are 9497. Prime factorization of 9497 in exponential form is:

9497 = 94971

Prime Factorization of 9504


2 9504
2 4752
2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 9504 are 2.Prime factorization of 9504 in exponential form is:

9504 = 25×33×111

∴ So by taking common prime factors GCF of 9497 and 9504 is 1

Greatest Common Factor of 9497 and 9504 by matching factors method

Factors of 9497

List of positive integer factors of 9497 that divides 9497 without a remainder.

1,9497

Factors of 9504

List of positive integer factors of 9504 that divides 9504 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504

Greatest Common Factor

We found the factors and prime factorization of 9497 and 9504. The biggest common factor number is the GCF number.
So the greatest common factor 9497 and 9504 is 1.

Also check out the Least Common Multiple of 9497 and 9504

Properties of GCF 9497 and 9504

(i) The GCF of 9497 and 9504 is associative

GCF of 9497 and 9504 = GCF of 9504 and 9497

Related Greatest Common Factor of 9497

Related Greatest Common Factor of 9504

Frequently Asked Questions on GCF of 9497 and 9504

1. What is the GCF of 9497 and 9504?

Answer: GCF of 9497 and 9504 is 1.

2. What are the Factors of 9497?

Answer: Factors of 9497 are 1, 9497. There are 2 integers that are factors of 9497. The greatest factor of 9497 is 9497.

3. What are the Factors of 9504?

Answer: Factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504. There are 48 integers that are factors of 9504. The greatest factor of 9504 is 9504.

4. How to Find the GCF of 9497 and 9504?

Answer:

Greatest Common Factor of 9497 and 9504 = 1

Step 1: Find the prime factorization of 9497

9497 = 9497

Step 2: Find the prime factorization of 9504

9504 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11

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 9497 and 9504 is 1