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 446, 451 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 446 and 451 is 1.
GCF(446,451) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 451
11 | 451 |
41 | 41 |
1 |
Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:
451 = 111×411
∴ So by taking common prime factors GCF of 446 and 451 is 1
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors and prime factorization of 446 and 451. The biggest common factor number is the GCF number.
So the greatest common factor 446 and 451 is 1.
Also check out the Least Common Multiple of 446 and 451
(i) The GCF of 446 and 451 is associative
GCF of 446 and 451 = GCF of 451 and 446
1. What is the GCF of 446 and 451?
Answer: GCF of 446 and 451 is 1.
2. 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.
3. What are the Factors of 451?
Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.
4. How to Find the GCF of 446 and 451?
Answer:
Greatest Common Factor of 446 and 451 = 1
Step 1: Find the prime factorization of 446
446 = 2 x 223
Step 2: Find the prime factorization of 451
451 = 11 x 41
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 446 and 451 is 1