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 9292, 9296 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9292 and 9296 is 4.
GCF(9292,9296) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9292
2 | 9292 |
2 | 4646 |
23 | 2323 |
101 | 101 |
1 |
Prime factors of 9292 are 2,23,101. Prime factorization of 9292 in exponential form is:
9292 = 22×231×1011
Prime Factorization of 9296
2 | 9296 |
2 | 4648 |
2 | 2324 |
2 | 1162 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 9296 are 2,7,83. Prime factorization of 9296 in exponential form is:
9296 = 24×71×831
∴ So by taking common prime factors GCF of 9292 and 9296 is 4
Factors of 9292
List of positive integer factors of 9292 that divides 9292 without a remainder.
1,2,4,23,46,92,101,202,404,2323,4646,9292
Factors of 9296
List of positive integer factors of 9296 that divides 9296 without a remainder.
1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296
Greatest Common Factor
We found the factors and prime factorization of 9292 and 9296. The biggest common factor number is the GCF number.
So the greatest common factor 9292 and 9296 is 4.
Also check out the Least Common Multiple of 9292 and 9296
(i) The GCF of 9292 and 9296 is associative
GCF of 9292 and 9296 = GCF of 9296 and 9292
1. What is the GCF of 9292 and 9296?
Answer: GCF of 9292 and 9296 is 4.
2. What are the Factors of 9292?
Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.
3. What are the Factors of 9296?
Answer: Factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296. There are 20 integers that are factors of 9296. The greatest factor of 9296 is 9296.
4. How to Find the GCF of 9292 and 9296?
Answer:
Greatest Common Factor of 9292 and 9296 = 4
Step 1: Find the prime factorization of 9292
9292 = 2 x 2 x 23 x 101
Step 2: Find the prime factorization of 9296
9296 = 2 x 2 x 2 x 2 x 7 x 83
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 9292 and 9296 is 4