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 9245, 9246 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9245 and 9246 is 1.
GCF(9245,9246) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9245
5 | 9245 |
43 | 1849 |
43 | 43 |
1 |
Prime factors of 9245 are 5,43. Prime factorization of 9245 in exponential form is:
9245 = 51×432
Prime Factorization of 9246
2 | 9246 |
3 | 4623 |
23 | 1541 |
67 | 67 |
1 |
Prime factors of 9246 are 2,3,23,67. Prime factorization of 9246 in exponential form is:
9246 = 21×31×231×671
∴ So by taking common prime factors GCF of 9245 and 9246 is 1
Factors of 9245
List of positive integer factors of 9245 that divides 9245 without a remainder.
1,5,43,215,1849,9245
Factors of 9246
List of positive integer factors of 9246 that divides 9246 without a remainder.
1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Greatest Common Factor
We found the factors and prime factorization of 9245 and 9246. The biggest common factor number is the GCF number.
So the greatest common factor 9245 and 9246 is 1.
Also check out the Least Common Multiple of 9245 and 9246
(i) The GCF of 9245 and 9246 is associative
GCF of 9245 and 9246 = GCF of 9246 and 9245
1. What is the GCF of 9245 and 9246?
Answer: GCF of 9245 and 9246 is 1.
2. What are the Factors of 9245?
Answer: Factors of 9245 are 1, 5, 43, 215, 1849, 9245. There are 6 integers that are factors of 9245. The greatest factor of 9245 is 9245.
3. What are the Factors of 9246?
Answer: Factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246. There are 16 integers that are factors of 9246. The greatest factor of 9246 is 9246.
4. How to Find the GCF of 9245 and 9246?
Answer:
Greatest Common Factor of 9245 and 9246 = 1
Step 1: Find the prime factorization of 9245
9245 = 5 x 43 x 43
Step 2: Find the prime factorization of 9246
9246 = 2 x 3 x 23 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9245 and 9246 is 1