What is the Greatest Common Factor of 88672 and 88689?

Greatest common factor (GCF) of 88672 and 88689 is 17.

GCF(88672,88689) = 17

We will now calculate the prime factors of 88672 and 88689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88672 and 88689.

How to find the GCF of 88672 and 88689?

We will first find the prime factorization of 88672 and 88689. After we will calculate the factors of 88672 and 88689 and find the biggest common factor number .

Step-1: Prime Factorization of 88672

Prime factors of 88672 are 2, 17, 163. Prime factorization of 88672 in exponential form is:

88672 = 2⁵ × 17¹ × 163¹

Step-2: 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-3: Factors of 88672

List of positive integer factors of 88672 that divides 88672 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 163, 272, 326, 544, 652, 1304, 2608, 2771, 5216, 5542, 11084, 22168, 44336

Step-4: Factors of 88689

List of positive integer factors of 88689 that divides 88672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88672 and 88689. The biggest common factor number is the GCF number.
So the greatest common factor 88672 and 88689 is 17.

Also check out the Least Common Multiple of 88672 and 88689