What is the Greatest Common Factor of 61584 and 61599?

Greatest common factor (GCF) of 61584 and 61599 is 3.

GCF(61584,61599) = 3

We will now calculate the prime factors of 61584 and 61599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61584 and 61599.

How to find the GCF of 61584 and 61599?

We will first find the prime factorization of 61584 and 61599. After we will calculate the factors of 61584 and 61599 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 61599

Prime factors of 61599 are 3, 20533. Prime factorization of 61599 in exponential form is:

61599 = 3¹ × 20533¹

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 61599

List of positive integer factors of 61599 that divides 61584 without a remainder.

1, 3, 20533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61584 and 61599. The biggest common factor number is the GCF number.
So the greatest common factor 61584 and 61599 is 3.

Also check out the Least Common Multiple of 61584 and 61599