What is the Greatest Common Factor of 61584 and 61589?

Greatest common factor (GCF) of 61584 and 61589 is 1.

GCF(61584,61589) = 1

We will now calculate the prime factors of 61584 and 61589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61584 and 61589.

How to find the GCF of 61584 and 61589?

We will first find the prime factorization of 61584 and 61589. After we will calculate the factors of 61584 and 61589 and find the biggest common factor number .

Step-1: Prime Factorization of 61584

Prime factors of 61584 are 2, 3, 1283. Prime factorization of 61584 in exponential form is:

61584 = 2⁴ × 3¹ × 1283¹

Step-2: Prime Factorization of 61589

Prime factors of 61589 are 11, 509. Prime factorization of 61589 in exponential form is:

61589 = 11² × 509¹

Step-3: Factors of 61584

List of positive integer factors of 61584 that divides 61584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1283, 2566, 3849, 5132, 7698, 10264, 15396, 20528, 30792

Step-4: Factors of 61589

List of positive integer factors of 61589 that divides 61584 without a remainder.

1, 11, 121, 509, 5599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61584 and 61589. The biggest common factor number is the GCF number.
So the greatest common factor 61584 and 61589 is 1.

Also check out the Least Common Multiple of 61584 and 61589