Greatest Common Factor of 39021 and 39024

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 39021, 39024 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39021 and 39024 is 3.

GCF(39021,39024) = 3

GCF of 39021 and 39024

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

GCF of:
and

Greatest Common Factor of 39021 and 39024

GCF of 39021 and 39024 is 3

Prime Factorization of 39021


3 39021
13007 13007
1

Prime factors of 39021 are 3,13007. Prime factorization of 39021 in exponential form is:

39021 = 31×130071

Prime Factorization of 39024


2 39024
2 19512
2 9756
2 4878
3 2439
3 813
271 271
1

Prime factors of 39024 are 2,3,271. Prime factorization of 39024 in exponential form is:

39024 = 24×32×2711

∴ So by taking common prime factors GCF of 39021 and 39024 is 3

Greatest Common Factor of 39021 and 39024 by matching factors method

Factors of 39021

List of positive integer factors of 39021 that divides 39021 without a remainder.

1,3,13007,39021

Factors of 39024

List of positive integer factors of 39024 that divides 39024 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144,271,542,813,1084,1626,2168,2439,3252,4336,4878,6504,9756,13008,19512,39024

Greatest Common Factor

We found the factors and prime factorization of 39021 and 39024. The biggest common factor number is the GCF number.
So the greatest common factor 39021 and 39024 is 3.

Also check out the Least Common Multiple of 39021 and 39024

Properties of GCF 39021 and 39024

(i) The GCF of 39021 and 39024 is associative

GCF of 39021 and 39024 = GCF of 39024 and 39021

Related Greatest Common Factor of 39021

Related Greatest Common Factor of 39024

Frequently Asked Questions on GCF of 39021 and 39024

1. What is the GCF of 39021 and 39024?

Answer: GCF of 39021 and 39024 is 3.

2. What are the Factors of 39021?

Answer: Factors of 39021 are 1, 3, 13007, 39021. There are 4 integers that are factors of 39021. The greatest factor of 39021 is 39021.

3. What are the Factors of 39024?

Answer: Factors of 39024 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 9756, 13008, 19512, 39024. There are 30 integers that are factors of 39024. The greatest factor of 39024 is 39024.

4. How to Find the GCF of 39021 and 39024?

Answer:

Greatest Common Factor of 39021 and 39024 = 3

Step 1: Find the prime factorization of 39021

39021 = 3 x 13007

Step 2: Find the prime factorization of 39024

39024 = 2 x 2 x 2 x 2 x 3 x 3 x 271

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 39021 and 39024 is 3