Greatest Common Factor of 9576 and 9582

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, 9582 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9576 and 9582 is 6.

GCF(9576,9582) = 6

GCF of 9576 and 9582

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

GCF of:
and

Greatest Common Factor of 9576 and 9582

GCF of 9576 and 9582 is 6

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 9582


2 9582
3 4791
1597 1597
1

Prime factors of 9582 are 2,3,1597. Prime factorization of 9582 in exponential form is:

9582 = 21×31×15971

∴ So by taking common prime factors GCF of 9576 and 9582 is 6

Greatest Common Factor of 9576 and 9582 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 9582

List of positive integer factors of 9582 that divides 9582 without a remainder.

1,2,3,6,1597,3194,4791,9582

Greatest Common Factor

We found the factors and prime factorization of 9576 and 9582. The biggest common factor number is the GCF number.
So the greatest common factor 9576 and 9582 is 6.

Also check out the Least Common Multiple of 9576 and 9582

Properties of GCF 9576 and 9582

(i) The GCF of 9576 and 9582 is associative

GCF of 9576 and 9582 = GCF of 9582 and 9576

Related Greatest Common Factor of 9576

Related Greatest Common Factor of 9582

Frequently Asked Questions on GCF of 9576 and 9582

1. What is the GCF of 9576 and 9582?

Answer: GCF of 9576 and 9582 is 6.

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 9582?

Answer: Factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582. There are 8 integers that are factors of 9582. The greatest factor of 9582 is 9582.

4. How to Find the GCF of 9576 and 9582?

Answer:

Greatest Common Factor of 9576 and 9582 = 6

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 9582

9582 = 2 x 3 x 1597

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9576 and 9582 is 6