What is the Greatest Common Factor of 88689 and 88707?

Greatest common factor (GCF) of 88689 and 88707 is 3.

GCF(88689,88707) = 3

We will now calculate the prime factors of 88689 and 88707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88689 and 88707.

How to find the GCF of 88689 and 88707?

We will first find the prime factorization of 88689 and 88707. After we will calculate the factors of 88689 and 88707 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 88707

Prime factors of 88707 are 3, 29569. Prime factorization of 88707 in exponential form is:

88707 = 3¹ × 29569¹

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 88707

List of positive integer factors of 88707 that divides 88689 without a remainder.

1, 3, 29569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88689 and 88707. The biggest common factor number is the GCF number.
So the greatest common factor 88689 and 88707 is 3.

Also check out the Least Common Multiple of 88689 and 88707