Greatest Common Factor of 1533 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 1533, 1540 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1533 and 1540 is 7.

GCF(1533,1540) = 7

GCF of 1533 and 1540

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

GCF of:
and

Greatest Common Factor of 1533 and 1540

GCF of 1533 and 1540 is 7

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3,7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

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 1533 and 1540 is 7

Greatest Common Factor of 1533 and 1540 by matching factors method

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1,3,7,21,73,219,511,1533

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 1533 and 1540. The biggest common factor number is the GCF number.
So the greatest common factor 1533 and 1540 is 7.

Also check out the Least Common Multiple of 1533 and 1540

Properties of GCF 1533 and 1540

(i) The GCF of 1533 and 1540 is associative

GCF of 1533 and 1540 = GCF of 1540 and 1533

Related Greatest Common Factor of 1533

Related Greatest Common Factor of 1540

Frequently Asked Questions on GCF of 1533 and 1540

1. What is the GCF of 1533 and 1540?

Answer: GCF of 1533 and 1540 is 7.

2. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

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 1533 and 1540?

Answer:

Greatest Common Factor of 1533 and 1540 = 7

Step 1: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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 = 7

Step 4: Therefore, the greatest common factor of 1533 and 1540 is 7