Greatest Common Factor of 9546 and 9550

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 9546, 9550 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9546 and 9550 is 2.

GCF(9546,9550) = 2

GCF of 9546 and 9550

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

GCF of:
and

Greatest Common Factor of 9546 and 9550

GCF of 9546 and 9550 is 2

Prime Factorization of 9546


2 9546
3 4773
37 1591
43 43
1

Prime factors of 9546 are 2,3,37,43. Prime factorization of 9546 in exponential form is:

9546 = 21×31×371×431

Prime Factorization of 9550


2 9550
5 4775
5 955
191 191
1

Prime factors of 9550 are 2,5,191. Prime factorization of 9550 in exponential form is:

9550 = 21×52×1911

∴ So by taking common prime factors GCF of 9546 and 9550 is 2

Greatest Common Factor of 9546 and 9550 by matching factors method

Factors of 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546

Factors of 9550

List of positive integer factors of 9550 that divides 9550 without a remainder.

1,2,5,10,25,50,191,382,955,1910,4775,9550

Greatest Common Factor

We found the factors and prime factorization of 9546 and 9550. The biggest common factor number is the GCF number.
So the greatest common factor 9546 and 9550 is 2.

Also check out the Least Common Multiple of 9546 and 9550

Properties of GCF 9546 and 9550

(i) The GCF of 9546 and 9550 is associative

GCF of 9546 and 9550 = GCF of 9550 and 9546

Related Greatest Common Factor of 9546

Related Greatest Common Factor of 9550

Frequently Asked Questions on GCF of 9546 and 9550

1. What is the GCF of 9546 and 9550?

Answer: GCF of 9546 and 9550 is 2.

2. What are the Factors of 9546?

Answer: Factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546. There are 16 integers that are factors of 9546. The greatest factor of 9546 is 9546.

3. What are the Factors of 9550?

Answer: Factors of 9550 are 1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550. There are 12 integers that are factors of 9550. The greatest factor of 9550 is 9550.

4. How to Find the GCF of 9546 and 9550?

Answer:

Greatest Common Factor of 9546 and 9550 = 2

Step 1: Find the prime factorization of 9546

9546 = 2 x 3 x 37 x 43

Step 2: Find the prime factorization of 9550

9550 = 2 x 5 x 5 x 191

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9546 and 9550 is 2