Greatest Common Factor of 39213 and 39219

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 39213, 39219 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39213 and 39219 is 3.

GCF(39213,39219) = 3

GCF of 39213 and 39219

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

GCF of:
and

Greatest Common Factor of 39213 and 39219

GCF of 39213 and 39219 is 3

Prime Factorization of 39213


3 39213
3 13071
4357 4357
1

Prime factors of 39213 are 3,4357. Prime factorization of 39213 in exponential form is:

39213 = 32×43571

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

∴ So by taking common prime factors GCF of 39213 and 39219 is 3

Greatest Common Factor of 39213 and 39219 by matching factors method

Factors of 39213

List of positive integer factors of 39213 that divides 39213 without a remainder.

1,3,9,4357,13071,39213

Factors of 39219

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

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

Greatest Common Factor

We found the factors and prime factorization of 39213 and 39219. The biggest common factor number is the GCF number.
So the greatest common factor 39213 and 39219 is 3.

Also check out the Least Common Multiple of 39213 and 39219

Properties of GCF 39213 and 39219

(i) The GCF of 39213 and 39219 is associative

GCF of 39213 and 39219 = GCF of 39219 and 39213

Related Greatest Common Factor of 39213

Related Greatest Common Factor of 39219

Frequently Asked Questions on GCF of 39213 and 39219

1. What is the GCF of 39213 and 39219?

Answer: GCF of 39213 and 39219 is 3.

2. What are the Factors of 39213?

Answer: Factors of 39213 are 1, 3, 9, 4357, 13071, 39213. There are 6 integers that are factors of 39213. The greatest factor of 39213 is 39213.

3. 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.

4. How to Find the GCF of 39213 and 39219?

Answer:

Greatest Common Factor of 39213 and 39219 = 3

Step 1: Find the prime factorization of 39213

39213 = 3 x 3 x 4357

Step 2: Find the prime factorization of 39219

39219 = 3 x 17 x 769

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 39213 and 39219 is 3