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 9352, 9359 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9352 and 9359 is 7.
GCF(9352,9359) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9352
2 | 9352 |
2 | 4676 |
2 | 2338 |
7 | 1169 |
167 | 167 |
1 |
Prime factors of 9352 are 2,7,167. Prime factorization of 9352 in exponential form is:
9352 = 23×71×1671
Prime Factorization of 9359
7 | 9359 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 9359 are 7,191. Prime factorization of 9359 in exponential form is:
9359 = 72×1911
∴ So by taking common prime factors GCF of 9352 and 9359 is 7
Factors of 9352
List of positive integer factors of 9352 that divides 9352 without a remainder.
1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352
Factors of 9359
List of positive integer factors of 9359 that divides 9359 without a remainder.
1,7,49,191,1337,9359
Greatest Common Factor
We found the factors and prime factorization of 9352 and 9359. The biggest common factor number is the GCF number.
So the greatest common factor 9352 and 9359 is 7.
Also check out the Least Common Multiple of 9352 and 9359
(i) The GCF of 9352 and 9359 is associative
GCF of 9352 and 9359 = GCF of 9359 and 9352
1. What is the GCF of 9352 and 9359?
Answer: GCF of 9352 and 9359 is 7.
2. What are the Factors of 9352?
Answer: Factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352. There are 16 integers that are factors of 9352. The greatest factor of 9352 is 9352.
3. What are the Factors of 9359?
Answer: Factors of 9359 are 1, 7, 49, 191, 1337, 9359. There are 6 integers that are factors of 9359. The greatest factor of 9359 is 9359.
4. How to Find the GCF of 9352 and 9359?
Answer:
Greatest Common Factor of 9352 and 9359 = 7
Step 1: Find the prime factorization of 9352
9352 = 2 x 2 x 2 x 7 x 167
Step 2: Find the prime factorization of 9359
9359 = 7 x 7 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 9352 and 9359 is 7