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 447, 448 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 447 and 448 is 1.
GCF(447,448) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 447
3 | 447 |
149 | 149 |
1 |
Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:
447 = 31×1491
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
∴ So by taking common prime factors GCF of 447 and 448 is 1
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
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
Greatest Common Factor
We found the factors and prime factorization of 447 and 448. The biggest common factor number is the GCF number.
So the greatest common factor 447 and 448 is 1.
Also check out the Least Common Multiple of 447 and 448
(i) The GCF of 447 and 448 is associative
GCF of 447 and 448 = GCF of 448 and 447
1. What is the GCF of 447 and 448?
Answer: GCF of 447 and 448 is 1.
2. What are the Factors of 447?
Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.
3. 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.
4. How to Find the GCF of 447 and 448?
Answer:
Greatest Common Factor of 447 and 448 = 1
Step 1: Find the prime factorization of 447
447 = 3 x 149
Step 2: Find the prime factorization of 448
448 = 2 x 2 x 2 x 2 x 2 x 2 x 7
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 447 and 448 is 1