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 321447, 321450 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 321447 and 321450 is 3.
GCF(321447,321450) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 321447
3 | 321447 |
7 | 107149 |
15307 | 15307 |
1 |
Prime factors of 321447 are 3,7,15307. Prime factorization of 321447 in exponential form is:
321447 = 31×71×153071
Prime Factorization of 321450
2 | 321450 |
3 | 160725 |
5 | 53575 |
5 | 10715 |
2143 | 2143 |
1 |
Prime factors of 321450 are 2,3,5,2143. Prime factorization of 321450 in exponential form is:
321450 = 21×31×52×21431
∴ So by taking common prime factors GCF of 321447 and 321450 is 3
Factors of 321447
List of positive integer factors of 321447 that divides 321447 without a remainder.
1,3,7,21,15307,45921,107149,321447
Factors of 321450
List of positive integer factors of 321450 that divides 321450 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150,2143,4286,6429,10715,12858,21430,32145,53575,64290,107150,160725,321450
Greatest Common Factor
We found the factors and prime factorization of 321447 and 321450. The biggest common factor number is the GCF number.
So the greatest common factor 321447 and 321450 is 3.
Also check out the Least Common Multiple of 321447 and 321450
(i) The GCF of 321447 and 321450 is associative
GCF of 321447 and 321450 = GCF of 321450 and 321447
1. What is the GCF of 321447 and 321450?
Answer: GCF of 321447 and 321450 is 3.
2. What are the Factors of 321447?
Answer: Factors of 321447 are 1, 3, 7, 21, 15307, 45921, 107149, 321447. There are 8 integers that are factors of 321447. The greatest factor of 321447 is 321447.
3. What are the Factors of 321450?
Answer: Factors of 321450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 2143, 4286, 6429, 10715, 12858, 21430, 32145, 53575, 64290, 107150, 160725, 321450. There are 24 integers that are factors of 321450. The greatest factor of 321450 is 321450.
4. How to Find the GCF of 321447 and 321450?
Answer:
Greatest Common Factor of 321447 and 321450 = 3
Step 1: Find the prime factorization of 321447
321447 = 3 x 7 x 15307
Step 2: Find the prime factorization of 321450
321450 = 2 x 3 x 5 x 5 x 2143
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 321447 and 321450 is 3