What is the Greatest Common Factor of 89523 and 89529?

Greatest common factor (GCF) of 89523 and 89529 is 3.

GCF(89523,89529) = 3

We will now calculate the prime factors of 89523 and 89529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89523 and 89529.

How to find the GCF of 89523 and 89529?

We will first find the prime factorization of 89523 and 89529. After we will calculate the factors of 89523 and 89529 and find the biggest common factor number .

Step-1: Prime Factorization of 89523

Prime factors of 89523 are 3, 7, 29. Prime factorization of 89523 in exponential form is:

89523 = 3² × 7³ × 29¹

Step-2: Prime Factorization of 89529

Prime factors of 89529 are 3, 11, 2713. Prime factorization of 89529 in exponential form is:

89529 = 3¹ × 11¹ × 2713¹

Step-3: Factors of 89523

List of positive integer factors of 89523 that divides 89523 without a remainder.

1, 3, 7, 9, 21, 29, 49, 63, 87, 147, 203, 261, 343, 441, 609, 1029, 1421, 1827, 3087, 4263, 9947, 12789, 29841

Step-4: Factors of 89529

List of positive integer factors of 89529 that divides 89523 without a remainder.

1, 3, 11, 33, 2713, 8139, 29843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89523 and 89529. The biggest common factor number is the GCF number.
So the greatest common factor 89523 and 89529 is 3.

Also check out the Least Common Multiple of 89523 and 89529