What is the Greatest Common Factor of 89268 and 89283?

Greatest common factor (GCF) of 89268 and 89283 is 3.

GCF(89268,89283) = 3

We will now calculate the prime factors of 89268 and 89283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89268 and 89283.

How to find the GCF of 89268 and 89283?

We will first find the prime factorization of 89268 and 89283. After we will calculate the factors of 89268 and 89283 and find the biggest common factor number .

Step-1: Prime Factorization of 89268

Prime factors of 89268 are 2, 3, 43, 173. Prime factorization of 89268 in exponential form is:

89268 = 2² × 3¹ × 43¹ × 173¹

Step-2: Prime Factorization of 89283

Prime factors of 89283 are 3, 29761. Prime factorization of 89283 in exponential form is:

89283 = 3¹ × 29761¹

Step-3: Factors of 89268

List of positive integer factors of 89268 that divides 89268 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 173, 258, 346, 516, 519, 692, 1038, 2076, 7439, 14878, 22317, 29756, 44634

Step-4: Factors of 89283

List of positive integer factors of 89283 that divides 89268 without a remainder.

1, 3, 29761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89268 and 89283. The biggest common factor number is the GCF number.
So the greatest common factor 89268 and 89283 is 3.

Also check out the Least Common Multiple of 89268 and 89283