Greatest Common Factor of 9546 and 9552

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, 9552 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9546 and 9552 is 6.

GCF(9546,9552) = 6

GCF of 9546 and 9552

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

GCF of:
and

Greatest Common Factor of 9546 and 9552

GCF of 9546 and 9552 is 6

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 9552


2 9552
2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 9552 are 2,3,199. Prime factorization of 9552 in exponential form is:

9552 = 24×31×1991

∴ So by taking common prime factors GCF of 9546 and 9552 is 6

Greatest Common Factor of 9546 and 9552 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 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552

Greatest Common Factor

We found the factors and prime factorization of 9546 and 9552. The biggest common factor number is the GCF number.
So the greatest common factor 9546 and 9552 is 6.

Also check out the Least Common Multiple of 9546 and 9552

Properties of GCF 9546 and 9552

(i) The GCF of 9546 and 9552 is associative

GCF of 9546 and 9552 = GCF of 9552 and 9546

Related Greatest Common Factor of 9546

Related Greatest Common Factor of 9552

Frequently Asked Questions on GCF of 9546 and 9552

1. What is the GCF of 9546 and 9552?

Answer: GCF of 9546 and 9552 is 6.

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 9552?

Answer: Factors of 9552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552. There are 20 integers that are factors of 9552. The greatest factor of 9552 is 9552.

4. How to Find the GCF of 9546 and 9552?

Answer:

Greatest Common Factor of 9546 and 9552 = 6

Step 1: Find the prime factorization of 9546

9546 = 2 x 3 x 37 x 43

Step 2: Find the prime factorization of 9552

9552 = 2 x 2 x 2 x 2 x 3 x 199

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 9546 and 9552 is 6