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 9446, 9452 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9446 and 9452 is 2.
GCF(9446,9452) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9446
2 | 9446 |
4723 | 4723 |
1 |
Prime factors of 9446 are 2,4723. Prime factorization of 9446 in exponential form is:
9446 = 21×47231
Prime Factorization of 9452
2 | 9452 |
2 | 4726 |
17 | 2363 |
139 | 139 |
1 |
Prime factors of 9452 are 2,17,139. Prime factorization of 9452 in exponential form is:
9452 = 22×171×1391
∴ So by taking common prime factors GCF of 9446 and 9452 is 2
Factors of 9446
List of positive integer factors of 9446 that divides 9446 without a remainder.
1,2,4723,9446
Factors of 9452
List of positive integer factors of 9452 that divides 9452 without a remainder.
1,2,4,17,34,68,139,278,556,2363,4726,9452
Greatest Common Factor
We found the factors and prime factorization of 9446 and 9452. The biggest common factor number is the GCF number.
So the greatest common factor 9446 and 9452 is 2.
Also check out the Least Common Multiple of 9446 and 9452
(i) The GCF of 9446 and 9452 is associative
GCF of 9446 and 9452 = GCF of 9452 and 9446
1. What is the GCF of 9446 and 9452?
Answer: GCF of 9446 and 9452 is 2.
2. What are the Factors of 9446?
Answer: Factors of 9446 are 1, 2, 4723, 9446. There are 4 integers that are factors of 9446. The greatest factor of 9446 is 9446.
3. What are the Factors of 9452?
Answer: Factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452. There are 12 integers that are factors of 9452. The greatest factor of 9452 is 9452.
4. How to Find the GCF of 9446 and 9452?
Answer:
Greatest Common Factor of 9446 and 9452 = 2
Step 1: Find the prime factorization of 9446
9446 = 2 x 4723
Step 2: Find the prime factorization of 9452
9452 = 2 x 2 x 17 x 139
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9446 and 9452 is 2