What is the Greatest Common Factor of 88689 and 88709?

Greatest common factor (GCF) of 88689 and 88709 is 1.

GCF(88689,88709) = 1

We will now calculate the prime factors of 88689 and 88709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88689 and 88709.

How to find the GCF of 88689 and 88709?

We will first find the prime factorization of 88689 and 88709. After we will calculate the factors of 88689 and 88709 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 88709

Prime factors of 88709 are 43, 2063. Prime factorization of 88709 in exponential form is:

88709 = 43¹ × 2063¹

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 88709

List of positive integer factors of 88709 that divides 88689 without a remainder.

1, 43, 2063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88689 and 88709. The biggest common factor number is the GCF number.
So the greatest common factor 88689 and 88709 is 1.

Also check out the Least Common Multiple of 88689 and 88709