Greatest Common Factor of 9576 and 9583

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 9576, 9583 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9576 and 9583 is 7.

GCF(9576,9583) = 7

GCF of 9576 and 9583

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

GCF of:
and

Greatest Common Factor of 9576 and 9583

GCF of 9576 and 9583 is 7

Prime Factorization of 9576


2 9576
2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 9576 are 2,3,7,19. Prime factorization of 9576 in exponential form is:

9576 = 23×32×71×191

Prime Factorization of 9583


7 9583
37 1369
37 37
1

Prime factors of 9583 are 7,37. Prime factorization of 9583 in exponential form is:

9583 = 71×372

∴ So by taking common prime factors GCF of 9576 and 9583 is 7

Greatest Common Factor of 9576 and 9583 by matching factors method

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Factors of 9583

List of positive integer factors of 9583 that divides 9583 without a remainder.

1,7,37,259,1369,9583

Greatest Common Factor

We found the factors and prime factorization of 9576 and 9583. The biggest common factor number is the GCF number.
So the greatest common factor 9576 and 9583 is 7.

Also check out the Least Common Multiple of 9576 and 9583

Properties of GCF 9576 and 9583

(i) The GCF of 9576 and 9583 is associative

GCF of 9576 and 9583 = GCF of 9583 and 9576

Related Greatest Common Factor of 9576

Related Greatest Common Factor of 9583

Frequently Asked Questions on GCF of 9576 and 9583

1. What is the GCF of 9576 and 9583?

Answer: GCF of 9576 and 9583 is 7.

2. What are the Factors of 9576?

Answer: Factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576. There are 48 integers that are factors of 9576. The greatest factor of 9576 is 9576.

3. What are the Factors of 9583?

Answer: Factors of 9583 are 1, 7, 37, 259, 1369, 9583. There are 6 integers that are factors of 9583. The greatest factor of 9583 is 9583.

4. How to Find the GCF of 9576 and 9583?

Answer:

Greatest Common Factor of 9576 and 9583 = 7

Step 1: Find the prime factorization of 9576

9576 = 2 x 2 x 2 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 9583

9583 = 7 x 37 x 37

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9576 and 9583 is 7