What is the Greatest Common Factor of 1590 and 1609?

Greatest common factor (GCF) of 1590 and 1609 is 1.

GCF(1590,1609) = 1

We will now calculate the prime factors of 1590 and 1609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1590 and 1609.

How to find the GCF of 1590 and 1609?

We will first find the prime factorization of 1590 and 1609. After we will calculate the factors of 1590 and 1609 and find the biggest common factor number .

Step-1: Prime Factorization of 1590

Prime factors of 1590 are 2, 3, 5, 53. Prime factorization of 1590 in exponential form is:

1590 = 2¹ × 3¹ × 5¹ × 53¹

Step-2: Prime Factorization of 1609

Prime factors of 1609 are 1609. Prime factorization of 1609 in exponential form is:

1609 = 1609¹

Step-3: Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795

Step-4: Factors of 1609

List of positive integer factors of 1609 that divides 1590 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1590 and 1609. The biggest common factor number is the GCF number.
So the greatest common factor 1590 and 1609 is 1.

Also check out the Least Common Multiple of 1590 and 1609