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 8438, 8446 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8438 and 8446 is 2.
GCF(8438,8446) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8438
2 | 8438 |
4219 | 4219 |
1 |
Prime factors of 8438 are 2,4219. Prime factorization of 8438 in exponential form is:
8438 = 21×42191
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
∴ So by taking common prime factors GCF of 8438 and 8446 is 2
Factors of 8438
List of positive integer factors of 8438 that divides 8438 without a remainder.
1,2,4219,8438
Factors of 8446
List of positive integer factors of 8446 that divides 8446 without a remainder.
1,2,41,82,103,206,4223,8446
Greatest Common Factor
We found the factors and prime factorization of 8438 and 8446. The biggest common factor number is the GCF number.
So the greatest common factor 8438 and 8446 is 2.
Also check out the Least Common Multiple of 8438 and 8446
(i) The GCF of 8438 and 8446 is associative
GCF of 8438 and 8446 = GCF of 8446 and 8438
1. What is the GCF of 8438 and 8446?
Answer: GCF of 8438 and 8446 is 2.
2. What are the Factors of 8438?
Answer: Factors of 8438 are 1, 2, 4219, 8438. There are 4 integers that are factors of 8438. The greatest factor of 8438 is 8438.
3. 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.
4. How to Find the GCF of 8438 and 8446?
Answer:
Greatest Common Factor of 8438 and 8446 = 2
Step 1: Find the prime factorization of 8438
8438 = 2 x 4219
Step 2: Find the prime factorization of 8446
8446 = 2 x 41 x 103
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 8438 and 8446 is 2