What is the Greatest Common Factor of 11589 and 11607?

Greatest common factor (GCF) of 11589 and 11607 is 3.

GCF(11589,11607) = 3

We will now calculate the prime factors of 11589 and 11607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11589 and 11607.

How to find the GCF of 11589 and 11607?

We will first find the prime factorization of 11589 and 11607. After we will calculate the factors of 11589 and 11607 and find the biggest common factor number .

Step-1: Prime Factorization of 11589

Prime factors of 11589 are 3, 3863. Prime factorization of 11589 in exponential form is:

11589 = 3¹ × 3863¹

Step-2: Prime Factorization of 11607

Prime factors of 11607 are 3, 53, 73. Prime factorization of 11607 in exponential form is:

11607 = 3¹ × 53¹ × 73¹

Step-3: Factors of 11589

List of positive integer factors of 11589 that divides 11589 without a remainder.

1, 3, 3863

Step-4: Factors of 11607

List of positive integer factors of 11607 that divides 11589 without a remainder.

1, 3, 53, 73, 159, 219, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11589 and 11607. The biggest common factor number is the GCF number.
So the greatest common factor 11589 and 11607 is 3.

Also check out the Least Common Multiple of 11589 and 11607