What is the Greatest Common Factor of 61569 and 61584?

Greatest common factor (GCF) of 61569 and 61584 is 3.

GCF(61569,61584) = 3

We will now calculate the prime factors of 61569 and 61584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61569 and 61584.

How to find the GCF of 61569 and 61584?

We will first find the prime factorization of 61569 and 61584. After we will calculate the factors of 61569 and 61584 and find the biggest common factor number .

Step-1: Prime Factorization of 61569

Prime factors of 61569 are 3, 6841. Prime factorization of 61569 in exponential form is:

61569 = 3² × 6841¹

Step-2: 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-3: Factors of 61569

List of positive integer factors of 61569 that divides 61569 without a remainder.

1, 3, 9, 6841, 20523

Step-4: Factors of 61584

List of positive integer factors of 61584 that divides 61569 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61569 and 61584. The biggest common factor number is the GCF number.
So the greatest common factor 61569 and 61584 is 3.

Also check out the Least Common Multiple of 61569 and 61584