Greatest Common Factor of 9576 and 9581

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, 9581 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9576 and 9581 is 1.

GCF(9576,9581) = 1

GCF of 9576 and 9581

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

GCF of:
and

Greatest Common Factor of 9576 and 9581

GCF of 9576 and 9581 is 1

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 9581


11 9581
13 871
67 67
1

Prime factors of 9581 are 11,13,67. Prime factorization of 9581 in exponential form is:

9581 = 111×131×671

∴ So by taking common prime factors GCF of 9576 and 9581 is 1

Greatest Common Factor of 9576 and 9581 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 9581

List of positive integer factors of 9581 that divides 9581 without a remainder.

1,11,13,67,143,737,871,9581

Greatest Common Factor

We found the factors and prime factorization of 9576 and 9581. The biggest common factor number is the GCF number.
So the greatest common factor 9576 and 9581 is 1.

Also check out the Least Common Multiple of 9576 and 9581

Properties of GCF 9576 and 9581

(i) The GCF of 9576 and 9581 is associative

GCF of 9576 and 9581 = GCF of 9581 and 9576

Related Greatest Common Factor of 9576

Related Greatest Common Factor of 9581

Frequently Asked Questions on GCF of 9576 and 9581

1. What is the GCF of 9576 and 9581?

Answer: GCF of 9576 and 9581 is 1.

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 9581?

Answer: Factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581. There are 8 integers that are factors of 9581. The greatest factor of 9581 is 9581.

4. How to Find the GCF of 9576 and 9581?

Answer:

Greatest Common Factor of 9576 and 9581 = 1

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 9581

9581 = 11 x 13 x 67

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 9576 and 9581 is 1