Greatest Common Factor of 6445 and 6450

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 6445, 6450 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6445 and 6450 is 5.

GCF(6445,6450) = 5

GCF of 6445 and 6450

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

GCF of:
and

Greatest Common Factor of 6445 and 6450

GCF of 6445 and 6450 is 5

Prime Factorization of 6445


5 6445
1289 1289
1

Prime factors of 6445 are 5,1289. Prime factorization of 6445 in exponential form is:

6445 = 51×12891

Prime Factorization of 6450


2 6450
3 3225
5 1075
5 215
43 43
1

Prime factors of 6450 are 2,3,5,43. Prime factorization of 6450 in exponential form is:

6450 = 21×31×52×431

∴ So by taking common prime factors GCF of 6445 and 6450 is 5

Greatest Common Factor of 6445 and 6450 by matching factors method

Factors of 6445

List of positive integer factors of 6445 that divides 6445 without a remainder.

1,5,1289,6445

Factors of 6450

List of positive integer factors of 6450 that divides 6450 without a remainder.

1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450

Greatest Common Factor

We found the factors and prime factorization of 6445 and 6450. The biggest common factor number is the GCF number.
So the greatest common factor 6445 and 6450 is 5.

Also check out the Least Common Multiple of 6445 and 6450

Properties of GCF 6445 and 6450

(i) The GCF of 6445 and 6450 is associative

GCF of 6445 and 6450 = GCF of 6450 and 6445

Related Greatest Common Factor of 6445

Related Greatest Common Factor of 6450

Frequently Asked Questions on GCF of 6445 and 6450

1. What is the GCF of 6445 and 6450?

Answer: GCF of 6445 and 6450 is 5.

2. What are the Factors of 6445?

Answer: Factors of 6445 are 1, 5, 1289, 6445. There are 4 integers that are factors of 6445. The greatest factor of 6445 is 6445.

3. What are the Factors of 6450?

Answer: Factors of 6450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450. There are 24 integers that are factors of 6450. The greatest factor of 6450 is 6450.

4. How to Find the GCF of 6445 and 6450?

Answer:

Greatest Common Factor of 6445 and 6450 = 5

Step 1: Find the prime factorization of 6445

6445 = 5 x 1289

Step 2: Find the prime factorization of 6450

6450 = 2 x 3 x 5 x 5 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 6445 and 6450 is 5