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 8446, 8450 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8446 and 8450 is 2.
GCF(8446,8450) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8446
2 | 8446 |
41 | 4223 |
103 | 103 |
1 |
Prime factors of 8446 are 2,41,103. Prime factorization of 8446 in exponential form is:
8446 = 21×411×1031
Prime Factorization of 8450
2 | 8450 |
5 | 4225 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 8450 are 2,5,13. Prime factorization of 8450 in exponential form is:
8450 = 21×52×132
∴ So by taking common prime factors GCF of 8446 and 8450 is 2
Factors of 8446
List of positive integer factors of 8446 that divides 8446 without a remainder.
1,2,41,82,103,206,4223,8446
Factors of 8450
List of positive integer factors of 8450 that divides 8450 without a remainder.
1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Greatest Common Factor
We found the factors and prime factorization of 8446 and 8450. The biggest common factor number is the GCF number.
So the greatest common factor 8446 and 8450 is 2.
Also check out the Least Common Multiple of 8446 and 8450
(i) The GCF of 8446 and 8450 is associative
GCF of 8446 and 8450 = GCF of 8450 and 8446
1. What is the GCF of 8446 and 8450?
Answer: GCF of 8446 and 8450 is 2.
2. What are the Factors of 8446?
Answer: Factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446. There are 8 integers that are factors of 8446. The greatest factor of 8446 is 8446.
3. What are the Factors of 8450?
Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.
4. How to Find the GCF of 8446 and 8450?
Answer:
Greatest Common Factor of 8446 and 8450 = 2
Step 1: Find the prime factorization of 8446
8446 = 2 x 41 x 103
Step 2: Find the prime factorization of 8450
8450 = 2 x 5 x 5 x 13 x 13
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 8446 and 8450 is 2