Greatest Common Factor of 1535 and 1540

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 1535, 1540 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1535 and 1540 is 5.

GCF(1535,1540) = 5

GCF of 1535 and 1540

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

GCF of:
and

Greatest Common Factor of 1535 and 1540

GCF of 1535 and 1540 is 5

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

Prime Factorization of 1540


2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 1540 are 2,5,7,11. Prime factorization of 1540 in exponential form is:

1540 = 22×51×71×111

∴ So by taking common prime factors GCF of 1535 and 1540 is 5

Greatest Common Factor of 1535 and 1540 by matching factors method

Factors of 1535

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

1,5,307,1535

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540

Greatest Common Factor

We found the factors and prime factorization of 1535 and 1540. The biggest common factor number is the GCF number.
So the greatest common factor 1535 and 1540 is 5.

Also check out the Least Common Multiple of 1535 and 1540

Properties of GCF 1535 and 1540

(i) The GCF of 1535 and 1540 is associative

GCF of 1535 and 1540 = GCF of 1540 and 1535

Related Greatest Common Factor of 1535

Related Greatest Common Factor of 1540

Frequently Asked Questions on GCF of 1535 and 1540

1. What is the GCF of 1535 and 1540?

Answer: GCF of 1535 and 1540 is 5.

2. 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.

3. What are the Factors of 1540?

Answer: Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. There are 24 integers that are factors of 1540. The greatest factor of 1540 is 1540.

4. How to Find the GCF of 1535 and 1540?

Answer:

Greatest Common Factor of 1535 and 1540 = 5

Step 1: Find the prime factorization of 1535

1535 = 5 x 307

Step 2: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

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 1535 and 1540 is 5