Greatest Common Factor of 1538 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 1538, 1544 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1538 and 1544 is 2.

GCF(1538,1544) = 2

GCF of 1538 and 1544

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

GCF of:
and

Greatest Common Factor of 1538 and 1544

GCF of 1538 and 1544 is 2

Prime Factorization of 1538


2 1538
769 769
1

Prime factors of 1538 are 2,769. Prime factorization of 1538 in exponential form is:

1538 = 21×7691

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 1538 and 1544 is 2

Greatest Common Factor of 1538 and 1544 by matching factors method

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1,2,769,1538

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 1538 and 1544. The biggest common factor number is the GCF number.
So the greatest common factor 1538 and 1544 is 2.

Also check out the Least Common Multiple of 1538 and 1544

Properties of GCF 1538 and 1544

(i) The GCF of 1538 and 1544 is associative

GCF of 1538 and 1544 = GCF of 1544 and 1538

Related Greatest Common Factor of 1538

Related Greatest Common Factor of 1544

Frequently Asked Questions on GCF of 1538 and 1544

1. What is the GCF of 1538 and 1544?

Answer: GCF of 1538 and 1544 is 2.

2. What are the Factors of 1538?

Answer: Factors of 1538 are 1, 2, 769, 1538. There are 4 integers that are factors of 1538. The greatest factor of 1538 is 1538.

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 1538 and 1544?

Answer:

Greatest Common Factor of 1538 and 1544 = 2

Step 1: Find the prime factorization of 1538

1538 = 2 x 769

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

Step 4: Therefore, the greatest common factor of 1538 and 1544 is 2