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 453, 454 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 453 and 454 is 1.
GCF(453,454) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 454
2 | 454 |
227 | 227 |
1 |
Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:
454 = 21×2271
∴ So by taking common prime factors GCF of 453 and 454 is 1
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors and prime factorization of 453 and 454. The biggest common factor number is the GCF number.
So the greatest common factor 453 and 454 is 1.
Also check out the Least Common Multiple of 453 and 454
(i) The GCF of 453 and 454 is associative
GCF of 453 and 454 = GCF of 454 and 453
1. What is the GCF of 453 and 454?
Answer: GCF of 453 and 454 is 1.
2. 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.
3. What are the Factors of 454?
Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.
4. How to Find the GCF of 453 and 454?
Answer:
Greatest Common Factor of 453 and 454 = 1
Step 1: Find the prime factorization of 453
453 = 3 x 151
Step 2: Find the prime factorization of 454
454 = 2 x 227
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 453 and 454 is 1