What is the Greatest Common Factor of 52589 and 52609?

Greatest common factor (GCF) of 52589 and 52609 is 1.

GCF(52589,52609) = 1

We will now calculate the prime factors of 52589 and 52609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52589 and 52609.

How to find the GCF of 52589 and 52609?

We will first find the prime factorization of 52589 and 52609. After we will calculate the factors of 52589 and 52609 and find the biggest common factor number .

Step-1: Prime Factorization of 52589

Prime factors of 52589 are 43, 1223. Prime factorization of 52589 in exponential form is:

52589 = 43¹ × 1223¹

Step-2: Prime Factorization of 52609

Prime factors of 52609 are 52609. Prime factorization of 52609 in exponential form is:

52609 = 52609¹

Step-3: Factors of 52589

List of positive integer factors of 52589 that divides 52589 without a remainder.

1, 43, 1223

Step-4: Factors of 52609

List of positive integer factors of 52609 that divides 52589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52589 and 52609. The biggest common factor number is the GCF number.
So the greatest common factor 52589 and 52609 is 1.

Also check out the Least Common Multiple of 52589 and 52609