What is the Greatest Common Factor of 87561 and 87578?

Greatest common factor (GCF) of 87561 and 87578 is 1.

GCF(87561,87578) = 1

We will now calculate the prime factors of 87561 and 87578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87561 and 87578.

How to find the GCF of 87561 and 87578?

We will first find the prime factorization of 87561 and 87578. After we will calculate the factors of 87561 and 87578 and find the biggest common factor number .

Step-1: Prime Factorization of 87561

Prime factors of 87561 are 3, 23, 47. Prime factorization of 87561 in exponential form is:

87561 = 3⁴ × 23¹ × 47¹

Step-2: Prime Factorization of 87578

Prime factors of 87578 are 2, 43789. Prime factorization of 87578 in exponential form is:

87578 = 2¹ × 43789¹

Step-3: Factors of 87561

List of positive integer factors of 87561 that divides 87561 without a remainder.

1, 3, 9, 23, 27, 47, 69, 81, 141, 207, 423, 621, 1081, 1269, 1863, 3243, 3807, 9729, 29187

Step-4: Factors of 87578

List of positive integer factors of 87578 that divides 87561 without a remainder.

1, 2, 43789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87561 and 87578. The biggest common factor number is the GCF number.
So the greatest common factor 87561 and 87578 is 1.

Also check out the Least Common Multiple of 87561 and 87578