What is the Greatest Common Factor of 89649 and 89667?

Greatest common factor (GCF) of 89649 and 89667 is 9.

GCF(89649,89667) = 9

We will now calculate the prime factors of 89649 and 89667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89649 and 89667.

How to find the GCF of 89649 and 89667?

We will first find the prime factorization of 89649 and 89667. After we will calculate the factors of 89649 and 89667 and find the biggest common factor number .

Step-1: Prime Factorization of 89649

Prime factors of 89649 are 3, 7, 1423. Prime factorization of 89649 in exponential form is:

89649 = 3² × 7¹ × 1423¹

Step-2: Prime Factorization of 89667

Prime factors of 89667 are 3, 41. Prime factorization of 89667 in exponential form is:

89667 = 3⁷ × 41¹

Step-3: Factors of 89649

List of positive integer factors of 89649 that divides 89649 without a remainder.

1, 3, 7, 9, 21, 63, 1423, 4269, 9961, 12807, 29883

Step-4: Factors of 89667

List of positive integer factors of 89667 that divides 89649 without a remainder.

1, 3, 9, 27, 41, 81, 123, 243, 369, 729, 1107, 2187, 3321, 9963, 29889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89649 and 89667. The biggest common factor number is the GCF number.
So the greatest common factor 89649 and 89667 is 9.

Also check out the Least Common Multiple of 89649 and 89667