What is the Greatest Common Factor of 1589 and 1607?

Greatest common factor (GCF) of 1589 and 1607 is 1.

GCF(1589,1607) = 1

We will now calculate the prime factors of 1589 and 1607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1589 and 1607.

How to find the GCF of 1589 and 1607?

We will first find the prime factorization of 1589 and 1607. After we will calculate the factors of 1589 and 1607 and find the biggest common factor number .

Step-1: Prime Factorization of 1589

Prime factors of 1589 are 7, 227. Prime factorization of 1589 in exponential form is:

1589 = 7¹ × 227¹

Step-2: Prime Factorization of 1607

Prime factors of 1607 are 1607. Prime factorization of 1607 in exponential form is:

1607 = 1607¹

Step-3: Factors of 1589

List of positive integer factors of 1589 that divides 1589 without a remainder.

1, 7, 227

Step-4: Factors of 1607

List of positive integer factors of 1607 that divides 1589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1589 and 1607. The biggest common factor number is the GCF number.
So the greatest common factor 1589 and 1607 is 1.

Also check out the Least Common Multiple of 1589 and 1607