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 454, 460 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 454 and 460 is 2.
GCF(454,460) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 460
2 | 460 |
2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 460 are 2,5,23. Prime factorization of 460 in exponential form is:
460 = 22×51×231
∴ So by taking common prime factors GCF of 454 and 460 is 2
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors and prime factorization of 454 and 460. The biggest common factor number is the GCF number.
So the greatest common factor 454 and 460 is 2.
Also check out the Least Common Multiple of 454 and 460
(i) The GCF of 454 and 460 is associative
GCF of 454 and 460 = GCF of 460 and 454
1. What is the GCF of 454 and 460?
Answer: GCF of 454 and 460 is 2.
2. 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.
3. What are the Factors of 460?
Answer: Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. There are 12 integers that are factors of 460. The greatest factor of 460 is 460.
4. How to Find the GCF of 454 and 460?
Answer:
Greatest Common Factor of 454 and 460 = 2
Step 1: Find the prime factorization of 454
454 = 2 x 227
Step 2: Find the prime factorization of 460
460 = 2 x 2 x 5 x 23
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 454 and 460 is 2