Greatest Common Factor of 1540 and 1544

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 1540, 1544 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1540 and 1544 is 4.

GCF(1540,1544) = 4

GCF of 1540 and 1544

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

GCF of:
and

Greatest Common Factor of 1540 and 1544

GCF of 1540 and 1544 is 4

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

Prime Factorization of 1544


2 1544
2 772
2 386
193 193
1

Prime factors of 1544 are 2,193. Prime factorization of 1544 in exponential form is:

1544 = 23×1931

∴ So by taking common prime factors GCF of 1540 and 1544 is 4

Greatest Common Factor of 1540 and 1544 by matching factors method

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

Factors of 1544

List of positive integer factors of 1544 that divides 1544 without a remainder.

1,2,4,8,193,386,772,1544

Greatest Common Factor

We found the factors and prime factorization of 1540 and 1544. The biggest common factor number is the GCF number.
So the greatest common factor 1540 and 1544 is 4.

Also check out the Least Common Multiple of 1540 and 1544

Properties of GCF 1540 and 1544

(i) The GCF of 1540 and 1544 is associative

GCF of 1540 and 1544 = GCF of 1544 and 1540

Related Greatest Common Factor of 1540

Related Greatest Common Factor of 1544

Frequently Asked Questions on GCF of 1540 and 1544

1. What is the GCF of 1540 and 1544?

Answer: GCF of 1540 and 1544 is 4.

2. 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.

3. What are the Factors of 1544?

Answer: Factors of 1544 are 1, 2, 4, 8, 193, 386, 772, 1544. There are 8 integers that are factors of 1544. The greatest factor of 1544 is 1544.

4. How to Find the GCF of 1540 and 1544?

Answer:

Greatest Common Factor of 1540 and 1544 = 4

Step 1: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 1544

1544 = 2 x 2 x 2 x 193

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1540 and 1544 is 4