What is the Greatest Common Factor of 89631 and 89649?

Greatest common factor (GCF) of 89631 and 89649 is 9.

GCF(89631,89649) = 9

We will now calculate the prime factors of 89631 and 89649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89631 and 89649.

How to find the GCF of 89631 and 89649?

We will first find the prime factorization of 89631 and 89649. After we will calculate the factors of 89631 and 89649 and find the biggest common factor number .

Step-1: Prime Factorization of 89631

Prime factors of 89631 are 3, 23, 433. Prime factorization of 89631 in exponential form is:

89631 = 3² × 23¹ × 433¹

Step-2: 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-3: Factors of 89631

List of positive integer factors of 89631 that divides 89631 without a remainder.

1, 3, 9, 23, 69, 207, 433, 1299, 3897, 9959, 29877

Step-4: Factors of 89649

List of positive integer factors of 89649 that divides 89631 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89631 and 89649. The biggest common factor number is the GCF number.
So the greatest common factor 89631 and 89649 is 9.

Also check out the Least Common Multiple of 89631 and 89649