Greatest Common Factor of 1530 and 1536

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 1530, 1536 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1530 and 1536 is 6.

GCF(1530,1536) = 6

GCF of 1530 and 1536

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

GCF of:
and

Greatest Common Factor of 1530 and 1536

GCF of 1530 and 1536 is 6

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2,3,5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

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

∴ So by taking common prime factors GCF of 1530 and 1536 is 6

Greatest Common Factor of 1530 and 1536 by matching factors method

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530

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

Greatest Common Factor

We found the factors and prime factorization of 1530 and 1536. The biggest common factor number is the GCF number.
So the greatest common factor 1530 and 1536 is 6.

Also check out the Least Common Multiple of 1530 and 1536

Properties of GCF 1530 and 1536

(i) The GCF of 1530 and 1536 is associative

GCF of 1530 and 1536 = GCF of 1536 and 1530

Related Greatest Common Factor of 1530

Related Greatest Common Factor of 1536

Frequently Asked Questions on GCF of 1530 and 1536

1. What is the GCF of 1530 and 1536?

Answer: GCF of 1530 and 1536 is 6.

2. What are the Factors of 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

3. 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.

4. How to Find the GCF of 1530 and 1536?

Answer:

Greatest Common Factor of 1530 and 1536 = 6

Step 1: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

Step 2: 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 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 1530 and 1536 is 6