Greatest Common Factor of 1536 and 1539

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 1536, 1539 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1536 and 1539 is 3.

GCF(1536,1539) = 3

GCF of 1536 and 1539

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

GCF of:
and

Greatest Common Factor of 1536 and 1539

GCF of 1536 and 1539 is 3

Prime Factorization of 1536


2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 1536 are 2,3. Prime factorization of 1536 in exponential form is:

1536 = 29×31

Prime Factorization of 1539


3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 1539 are 3,19. Prime factorization of 1539 in exponential form is:

1539 = 34×191

∴ So by taking common prime factors GCF of 1536 and 1539 is 3

Greatest Common Factor of 1536 and 1539 by matching factors method

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1,3,9,19,27,57,81,171,513,1539

Greatest Common Factor

We found the factors and prime factorization of 1536 and 1539. The biggest common factor number is the GCF number.
So the greatest common factor 1536 and 1539 is 3.

Also check out the Least Common Multiple of 1536 and 1539

Properties of GCF 1536 and 1539

(i) The GCF of 1536 and 1539 is associative

GCF of 1536 and 1539 = GCF of 1539 and 1536

Related Greatest Common Factor of 1536

Related Greatest Common Factor of 1539

Frequently Asked Questions on GCF of 1536 and 1539

1. What is the GCF of 1536 and 1539?

Answer: GCF of 1536 and 1539 is 3.

2. What are the Factors of 1536?

Answer: Factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536. There are 20 integers that are factors of 1536. The greatest factor of 1536 is 1536.

3. What are the Factors of 1539?

Answer: Factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539. There are 10 integers that are factors of 1539. The greatest factor of 1539 is 1539.

4. How to Find the GCF of 1536 and 1539?

Answer:

Greatest Common Factor of 1536 and 1539 = 3

Step 1: Find the prime factorization of 1536

1536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 1539

1539 = 3 x 3 x 3 x 3 x 19

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 1536 and 1539 is 3