Greatest Common Factor of 39219 and 39225

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 39219, 39225 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39219 and 39225 is 3.

GCF(39219,39225) = 3

GCF of 39219 and 39225

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

GCF of:
and

Greatest Common Factor of 39219 and 39225

GCF of 39219 and 39225 is 3

Prime Factorization of 39219


3 39219
17 13073
769 769
1

Prime factors of 39219 are 3,17,769. Prime factorization of 39219 in exponential form is:

39219 = 31×171×7691

Prime Factorization of 39225


3 39225
5 13075
5 2615
523 523
1

Prime factors of 39225 are 3,5,523. Prime factorization of 39225 in exponential form is:

39225 = 31×52×5231

∴ So by taking common prime factors GCF of 39219 and 39225 is 3

Greatest Common Factor of 39219 and 39225 by matching factors method

Factors of 39219

List of positive integer factors of 39219 that divides 39219 without a remainder.

1,3,17,51,769,2307,13073,39219

Factors of 39225

List of positive integer factors of 39225 that divides 39225 without a remainder.

1,3,5,15,25,75,523,1569,2615,7845,13075,39225

Greatest Common Factor

We found the factors and prime factorization of 39219 and 39225. The biggest common factor number is the GCF number.
So the greatest common factor 39219 and 39225 is 3.

Also check out the Least Common Multiple of 39219 and 39225

Properties of GCF 39219 and 39225

(i) The GCF of 39219 and 39225 is associative

GCF of 39219 and 39225 = GCF of 39225 and 39219

Related Greatest Common Factor of 39219

Related Greatest Common Factor of 39225

Frequently Asked Questions on GCF of 39219 and 39225

1. What is the GCF of 39219 and 39225?

Answer: GCF of 39219 and 39225 is 3.

2. What are the Factors of 39219?

Answer: Factors of 39219 are 1, 3, 17, 51, 769, 2307, 13073, 39219. There are 8 integers that are factors of 39219. The greatest factor of 39219 is 39219.

3. What are the Factors of 39225?

Answer: Factors of 39225 are 1, 3, 5, 15, 25, 75, 523, 1569, 2615, 7845, 13075, 39225. There are 12 integers that are factors of 39225. The greatest factor of 39225 is 39225.

4. How to Find the GCF of 39219 and 39225?

Answer:

Greatest Common Factor of 39219 and 39225 = 3

Step 1: Find the prime factorization of 39219

39219 = 3 x 17 x 769

Step 2: Find the prime factorization of 39225

39225 = 3 x 5 x 5 x 523

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 39219 and 39225 is 3