What is the Greatest Common Factor of 87576 and 87589?

Greatest common factor (GCF) of 87576 and 87589 is 1.

GCF(87576,87589) = 1

We will now calculate the prime factors of 87576 and 87589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87576 and 87589.

How to find the GCF of 87576 and 87589?

We will first find the prime factorization of 87576 and 87589. After we will calculate the factors of 87576 and 87589 and find the biggest common factor number .

Step-1: Prime Factorization of 87576

Prime factors of 87576 are 2, 3, 41, 89. Prime factorization of 87576 in exponential form is:

87576 = 2³ × 3¹ × 41¹ × 89¹

Step-2: Prime Factorization of 87589

Prime factors of 87589 are 87589. Prime factorization of 87589 in exponential form is:

87589 = 87589¹

Step-3: Factors of 87576

List of positive integer factors of 87576 that divides 87576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 89, 123, 164, 178, 246, 267, 328, 356, 492, 534, 712, 984, 1068, 2136, 3649, 7298, 10947, 14596, 21894, 29192, 43788

Step-4: Factors of 87589

List of positive integer factors of 87589 that divides 87576 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87576 and 87589. The biggest common factor number is the GCF number.
So the greatest common factor 87576 and 87589 is 1.

Also check out the Least Common Multiple of 87576 and 87589