Greatest Common Factor of 9569 and 9576

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 9569, 9576 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9569 and 9576 is 7.

GCF(9569,9576) = 7

GCF of 9569 and 9576

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

GCF of:
and

Greatest Common Factor of 9569 and 9576

GCF of 9569 and 9576 is 7

Prime Factorization of 9569


7 9569
1367 1367
1

Prime factors of 9569 are 7,1367. Prime factorization of 9569 in exponential form is:

9569 = 71×13671

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

∴ So by taking common prime factors GCF of 9569 and 9576 is 7

Greatest Common Factor of 9569 and 9576 by matching factors method

Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1,7,1367,9569

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

Greatest Common Factor

We found the factors and prime factorization of 9569 and 9576. The biggest common factor number is the GCF number.
So the greatest common factor 9569 and 9576 is 7.

Also check out the Least Common Multiple of 9569 and 9576

Properties of GCF 9569 and 9576

(i) The GCF of 9569 and 9576 is associative

GCF of 9569 and 9576 = GCF of 9576 and 9569

Related Greatest Common Factor of 9569

Related Greatest Common Factor of 9576

Frequently Asked Questions on GCF of 9569 and 9576

1. What is the GCF of 9569 and 9576?

Answer: GCF of 9569 and 9576 is 7.

2. What are the Factors of 9569?

Answer: Factors of 9569 are 1, 7, 1367, 9569. There are 4 integers that are factors of 9569. The greatest factor of 9569 is 9569.

3. 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.

4. How to Find the GCF of 9569 and 9576?

Answer:

Greatest Common Factor of 9569 and 9576 = 7

Step 1: Find the prime factorization of 9569

9569 = 7 x 1367

Step 2: Find the prime factorization of 9576

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

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 9569 and 9576 is 7