Greatest Common Factor of 321447 and 321450

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

GCF of 321447 and 321450

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 321447 and 321450

GCF of 321447 and 321450 is 3

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

Greatest Common Factor of 321447 and 321450 by matching factors method

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

Properties of GCF 321447 and 321450

(i) The GCF of 321447 and 321450 is associative

GCF of 321447 and 321450 = GCF of 321450 and 321447

Frequently Asked Questions on GCF of 321447 and 321450

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