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, 453 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 446 and 453 is 1.
GCF(446,453) = 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 453
3 | 453 |
151 | 151 |
1 |
Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:
453 = 31×1511
∴ So by taking common prime factors GCF of 446 and 453 is 1
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors and prime factorization of 446 and 453. The biggest common factor number is the GCF number.
So the greatest common factor 446 and 453 is 1.
Also check out the Least Common Multiple of 446 and 453
(i) The GCF of 446 and 453 is associative
GCF of 446 and 453 = GCF of 453 and 446
1. What is the GCF of 446 and 453?
Answer: GCF of 446 and 453 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 453?
Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.
4. How to Find the GCF of 446 and 453?
Answer:
Greatest Common Factor of 446 and 453 = 1
Step 1: Find the prime factorization of 446
446 = 2 x 223
Step 2: Find the prime factorization of 453
453 = 3 x 151
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 453 is 1