Greatest Common Factor of 39024 and 39029

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, 39029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39024 and 39029 is 1.

GCF(39024,39029) = 1

GCF of 39024 and 39029

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

GCF of:
and

Greatest Common Factor of 39024 and 39029

GCF of 39024 and 39029 is 1

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 39029


31 39029
1259 1259
1

Prime factors of 39029 are 31,1259. Prime factorization of 39029 in exponential form is:

39029 = 311×12591

∴ So by taking common prime factors GCF of 39024 and 39029 is 1

Greatest Common Factor of 39024 and 39029 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 39029

List of positive integer factors of 39029 that divides 39029 without a remainder.

1,31,1259,39029

Greatest Common Factor

We found the factors and prime factorization of 39024 and 39029. The biggest common factor number is the GCF number.
So the greatest common factor 39024 and 39029 is 1.

Also check out the Least Common Multiple of 39024 and 39029

Properties of GCF 39024 and 39029

(i) The GCF of 39024 and 39029 is associative

GCF of 39024 and 39029 = GCF of 39029 and 39024

Related Greatest Common Factor of 39024

Related Greatest Common Factor of 39029

Frequently Asked Questions on GCF of 39024 and 39029

1. What is the GCF of 39024 and 39029?

Answer: GCF of 39024 and 39029 is 1.

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 39029?

Answer: Factors of 39029 are 1, 31, 1259, 39029. There are 4 integers that are factors of 39029. The greatest factor of 39029 is 39029.

4. How to Find the GCF of 39024 and 39029?

Answer:

Greatest Common Factor of 39024 and 39029 = 1

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 39029

39029 = 31 x 1259

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 39024 and 39029 is 1