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 9548, 9552 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9548 and 9552 is 4.
GCF(9548,9552) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9548
2 | 9548 |
2 | 4774 |
7 | 2387 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 9548 are 2,7,11,31. Prime factorization of 9548 in exponential form is:
9548 = 22×71×111×311
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 9548 and 9552 is 4
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
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 9548 and 9552. The biggest common factor number is the GCF number.
So the greatest common factor 9548 and 9552 is 4.
Also check out the Least Common Multiple of 9548 and 9552
(i) The GCF of 9548 and 9552 is associative
GCF of 9548 and 9552 = GCF of 9552 and 9548
1. What is the GCF of 9548 and 9552?
Answer: GCF of 9548 and 9552 is 4.
2. What are the Factors of 9548?
Answer: Factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548. There are 24 integers that are factors of 9548. The greatest factor of 9548 is 9548.
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 9548 and 9552?
Answer:
Greatest Common Factor of 9548 and 9552 = 4
Step 1: Find the prime factorization of 9548
9548 = 2 x 2 x 7 x 11 x 31
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 2 = 4
Step 4: Therefore, the greatest common factor of 9548 and 9552 is 4