What is the Greatest Common Factor of 97584 and 97589?

Greatest common factor (GCF) of 97584 and 97589 is 1.

GCF(97584,97589) = 1

We will now calculate the prime factors of 97584 and 97589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97584 and 97589.

How to find the GCF of 97584 and 97589?

We will first find the prime factorization of 97584 and 97589. After we will calculate the factors of 97584 and 97589 and find the biggest common factor number .

Step-1: Prime Factorization of 97584

Prime factors of 97584 are 2, 3, 19, 107. Prime factorization of 97584 in exponential form is:

97584 = 2⁴ × 3¹ × 19¹ × 107¹

Step-2: Prime Factorization of 97589

Prime factors of 97589 are 23, 4243. Prime factorization of 97589 in exponential form is:

97589 = 23¹ × 4243¹

Step-3: Factors of 97584

List of positive integer factors of 97584 that divides 97584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 107, 114, 152, 214, 228, 304, 321, 428, 456, 642, 856, 912, 1284, 1712, 2033, 2568, 4066, 5136, 6099, 8132, 12198, 16264, 24396, 32528, 48792

Step-4: Factors of 97589

List of positive integer factors of 97589 that divides 97584 without a remainder.

1, 23, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97584 and 97589. The biggest common factor number is the GCF number.
So the greatest common factor 97584 and 97589 is 1.

Also check out the Least Common Multiple of 97584 and 97589