What is the Greatest Common Factor of 88689 and 88703?

Greatest common factor (GCF) of 88689 and 88703 is 1.

GCF(88689,88703) = 1

We will now calculate the prime factors of 88689 and 88703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88689 and 88703.

How to find the GCF of 88689 and 88703?

We will first find the prime factorization of 88689 and 88703. After we will calculate the factors of 88689 and 88703 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 88703

Prime factors of 88703 are 107, 829. Prime factorization of 88703 in exponential form is:

88703 = 107¹ × 829¹

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 88703

List of positive integer factors of 88703 that divides 88689 without a remainder.

1, 107, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88689 and 88703. The biggest common factor number is the GCF number.
So the greatest common factor 88689 and 88703 is 1.

Also check out the Least Common Multiple of 88689 and 88703