Greatest Common Factor of 1530 and 1535

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, 1535 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1530 and 1535 is 5.

GCF(1530,1535) = 5

GCF of 1530 and 1535

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

GCF of:
and

Greatest Common Factor of 1530 and 1535

GCF of 1530 and 1535 is 5

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 1535


5 1535
307 307
1

Prime factors of 1535 are 5,307. Prime factorization of 1535 in exponential form is:

1535 = 51×3071

∴ So by taking common prime factors GCF of 1530 and 1535 is 5

Greatest Common Factor of 1530 and 1535 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 1535

List of positive integer factors of 1535 that divides 1535 without a remainder.

1,5,307,1535

Greatest Common Factor

We found the factors and prime factorization of 1530 and 1535. The biggest common factor number is the GCF number.
So the greatest common factor 1530 and 1535 is 5.

Also check out the Least Common Multiple of 1530 and 1535

Properties of GCF 1530 and 1535

(i) The GCF of 1530 and 1535 is associative

GCF of 1530 and 1535 = GCF of 1535 and 1530

Related Greatest Common Factor of 1530

Related Greatest Common Factor of 1535

Frequently Asked Questions on GCF of 1530 and 1535

1. What is the GCF of 1530 and 1535?

Answer: GCF of 1530 and 1535 is 5.

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 1535?

Answer: Factors of 1535 are 1, 5, 307, 1535. There are 4 integers that are factors of 1535. The greatest factor of 1535 is 1535.

4. How to Find the GCF of 1530 and 1535?

Answer:

Greatest Common Factor of 1530 and 1535 = 5

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 1535

1535 = 5 x 307

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1530 and 1535 is 5