What is the Greatest Common Factor of 88689 and 88695?

Greatest common factor (GCF) of 88689 and 88695 is 3.

GCF(88689,88695) = 3

We will now calculate the prime factors of 88689 and 88695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88689 and 88695.

How to find the GCF of 88689 and 88695?

We will first find the prime factorization of 88689 and 88695. After we will calculate the factors of 88689 and 88695 and find the biggest common factor number .

Step-1: Prime Factorization of 88689

Prime factors of 88689 are 3, 17, 37, 47. Prime factorization of 88689 in exponential form is:

88689 = 3¹ × 17¹ × 37¹ × 47¹

Step-2: Prime Factorization of 88695

Prime factors of 88695 are 3, 5, 73. Prime factorization of 88695 in exponential form is:

88695 = 3⁵ × 5¹ × 73¹

Step-3: Factors of 88689

List of positive integer factors of 88689 that divides 88689 without a remainder.

1, 3, 17, 37, 47, 51, 111, 141, 629, 799, 1739, 1887, 2397, 5217, 29563

Step-4: Factors of 88695

List of positive integer factors of 88695 that divides 88689 without a remainder.

1, 3, 5, 9, 15, 27, 45, 73, 81, 135, 219, 243, 365, 405, 657, 1095, 1215, 1971, 3285, 5913, 9855, 17739, 29565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88689 and 88695. The biggest common factor number is the GCF number.
So the greatest common factor 88689 and 88695 is 3.

Also check out the Least Common Multiple of 88689 and 88695