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 442, 446 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 442 and 446 is 2.
GCF(442,446) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 442
2 | 442 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 442 are 2,13,17. Prime factorization of 442 in exponential form is:
442 = 21×131×171
Prime Factorization of 446
2 | 446 |
223 | 223 |
1 |
Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:
446 = 21×2231
∴ So by taking common prime factors GCF of 442 and 446 is 2
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors and prime factorization of 442 and 446. The biggest common factor number is the GCF number.
So the greatest common factor 442 and 446 is 2.
Also check out the Least Common Multiple of 442 and 446
(i) The GCF of 442 and 446 is associative
GCF of 442 and 446 = GCF of 446 and 442
1. What is the GCF of 442 and 446?
Answer: GCF of 442 and 446 is 2.
2. What are the Factors of 442?
Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.
3. What are the Factors of 446?
Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.
4. How to Find the GCF of 442 and 446?
Answer:
Greatest Common Factor of 442 and 446 = 2
Step 1: Find the prime factorization of 442
442 = 2 x 13 x 17
Step 2: Find the prime factorization of 446
446 = 2 x 223
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 442 and 446 is 2