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 448, 454 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 448 and 454 is 2.
GCF(448,454) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 448
2 | 448 |
2 | 224 |
2 | 112 |
2 | 56 |
2 | 28 |
2 | 14 |
7 | 7 |
1 |
Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:
448 = 26×71
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 448 and 454 is 2
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
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 448 and 454. The biggest common factor number is the GCF number.
So the greatest common factor 448 and 454 is 2.
Also check out the Least Common Multiple of 448 and 454
(i) The GCF of 448 and 454 is associative
GCF of 448 and 454 = GCF of 454 and 448
1. What is the GCF of 448 and 454?
Answer: GCF of 448 and 454 is 2.
2. What are the Factors of 448?
Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.
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 448 and 454?
Answer:
Greatest Common Factor of 448 and 454 = 2
Step 1: Find the prime factorization of 448
448 = 2 x 2 x 2 x 2 x 2 x 2 x 7
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 = 2
Step 4: Therefore, the greatest common factor of 448 and 454 is 2