What is the Greatest Common Factor of 75589 and 75609?

Greatest common factor (GCF) of 75589 and 75609 is 1.

GCF(75589,75609) = 1

We will now calculate the prime factors of 75589 and 75609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75589 and 75609.

How to find the GCF of 75589 and 75609?

We will first find the prime factorization of 75589 and 75609. After we will calculate the factors of 75589 and 75609 and find the biggest common factor number .

Step-1: Prime Factorization of 75589

Prime factors of 75589 are 269, 281. Prime factorization of 75589 in exponential form is:

75589 = 269¹ × 281¹

Step-2: Prime Factorization of 75609

Prime factors of 75609 are 3, 31, 271. Prime factorization of 75609 in exponential form is:

75609 = 3² × 31¹ × 271¹

Step-3: Factors of 75589

List of positive integer factors of 75589 that divides 75589 without a remainder.

1, 269, 281

Step-4: Factors of 75609

List of positive integer factors of 75609 that divides 75589 without a remainder.

1, 3, 9, 31, 93, 271, 279, 813, 2439, 8401, 25203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75589 and 75609. The biggest common factor number is the GCF number.
So the greatest common factor 75589 and 75609 is 1.

Also check out the Least Common Multiple of 75589 and 75609