Greatest Common Factor of 39024 and 39030

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 39024, 39030 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39024 and 39030 is 6.

GCF(39024,39030) = 6

GCF of 39024 and 39030

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

GCF of:
and

Greatest Common Factor of 39024 and 39030

GCF of 39024 and 39030 is 6

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

Prime Factorization of 39030


2 39030
3 19515
5 6505
1301 1301
1

Prime factors of 39030 are 2,3,5,1301. Prime factorization of 39030 in exponential form is:

39030 = 21×31×51×13011

∴ So by taking common prime factors GCF of 39024 and 39030 is 6

Greatest Common Factor of 39024 and 39030 by matching factors method

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

Factors of 39030

List of positive integer factors of 39030 that divides 39030 without a remainder.

1,2,3,5,6,10,15,30,1301,2602,3903,6505,7806,13010,19515,39030

Greatest Common Factor

We found the factors and prime factorization of 39024 and 39030. The biggest common factor number is the GCF number.
So the greatest common factor 39024 and 39030 is 6.

Also check out the Least Common Multiple of 39024 and 39030

Properties of GCF 39024 and 39030

(i) The GCF of 39024 and 39030 is associative

GCF of 39024 and 39030 = GCF of 39030 and 39024

Related Greatest Common Factor of 39024

Related Greatest Common Factor of 39030

Frequently Asked Questions on GCF of 39024 and 39030

1. What is the GCF of 39024 and 39030?

Answer: GCF of 39024 and 39030 is 6.

2. 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.

3. What are the Factors of 39030?

Answer: Factors of 39030 are 1, 2, 3, 5, 6, 10, 15, 30, 1301, 2602, 3903, 6505, 7806, 13010, 19515, 39030. There are 16 integers that are factors of 39030. The greatest factor of 39030 is 39030.

4. How to Find the GCF of 39024 and 39030?

Answer:

Greatest Common Factor of 39024 and 39030 = 6

Step 1: Find the prime factorization of 39024

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

Step 2: Find the prime factorization of 39030

39030 = 2 x 3 x 5 x 1301

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 39024 and 39030 is 6