What is the Greatest Common Factor of 1544 and 1559?

Greatest common factor (GCF) of 1544 and 1559 is 1.

GCF(1544,1559) = 1

We will now calculate the prime factors of 1544 and 1559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1544 and 1559.

How to find the GCF of 1544 and 1559?

We will first find the prime factorization of 1544 and 1559. After we will calculate the factors of 1544 and 1559 and find the biggest common factor number .

Step-1: Prime Factorization of 1544

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

1544 = 2³ × 193¹

Step-2: Prime Factorization of 1559

Prime factors of 1559 are 1559. Prime factorization of 1559 in exponential form is:

1559 = 1559¹

Step-3: Factors of 1544

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

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

Step-4: Factors of 1559

List of positive integer factors of 1559 that divides 1544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1544 and 1559. The biggest common factor number is the GCF number.
So the greatest common factor 1544 and 1559 is 1.

Also check out the Least Common Multiple of 1544 and 1559