What is the Greatest Common Factor of 1545 and 1559?

Greatest common factor (GCF) of 1545 and 1559 is 1.

GCF(1545,1559) = 1

We will now calculate the prime factors of 1545 and 1559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1545 and 1559.

How to find the GCF of 1545 and 1559?

We will first find the prime factorization of 1545 and 1559. After we will calculate the factors of 1545 and 1559 and find the biggest common factor number .

Step-1: Prime Factorization of 1545

Prime factors of 1545 are 3, 5, 103. Prime factorization of 1545 in exponential form is:

1545 = 3¹ × 5¹ × 103¹

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 1545

List of positive integer factors of 1545 that divides 1545 without a remainder.

1, 3, 5, 15, 103, 309, 515

Step-4: Factors of 1559

List of positive integer factors of 1559 that divides 1545 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1545 and 1559. The biggest common factor number is the GCF number.
So the greatest common factor 1545 and 1559 is 1.

Also check out the Least Common Multiple of 1545 and 1559