Greatest Common Factor of 9552 and 9555

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 9552, 9555 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9552 and 9555 is 3.

GCF(9552,9555) = 3

GCF of 9552 and 9555

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

GCF of:
and

Greatest Common Factor of 9552 and 9555

GCF of 9552 and 9555 is 3

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

Prime Factorization of 9555


3 9555
5 3185
7 637
7 91
13 13
1

Prime factors of 9555 are 3,5,7,13. Prime factorization of 9555 in exponential form is:

9555 = 31×51×72×131

∴ So by taking common prime factors GCF of 9552 and 9555 is 3

Greatest Common Factor of 9552 and 9555 by matching factors method

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

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555

Greatest Common Factor

We found the factors and prime factorization of 9552 and 9555. The biggest common factor number is the GCF number.
So the greatest common factor 9552 and 9555 is 3.

Also check out the Least Common Multiple of 9552 and 9555

Properties of GCF 9552 and 9555

(i) The GCF of 9552 and 9555 is associative

GCF of 9552 and 9555 = GCF of 9555 and 9552

Related Greatest Common Factor of 9552

Related Greatest Common Factor of 9555

Frequently Asked Questions on GCF of 9552 and 9555

1. What is the GCF of 9552 and 9555?

Answer: GCF of 9552 and 9555 is 3.

2. 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.

3. What are the Factors of 9555?

Answer: Factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555. There are 24 integers that are factors of 9555. The greatest factor of 9555 is 9555.

4. How to Find the GCF of 9552 and 9555?

Answer:

Greatest Common Factor of 9552 and 9555 = 3

Step 1: Find the prime factorization of 9552

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

Step 2: Find the prime factorization of 9555

9555 = 3 x 5 x 7 x 7 x 13

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9552 and 9555 is 3