What is the Greatest Common Factor of 89268 and 89277?

Greatest common factor (GCF) of 89268 and 89277 is 3.

GCF(89268,89277) = 3

We will now calculate the prime factors of 89268 and 89277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89268 and 89277.

How to find the GCF of 89268 and 89277?

We will first find the prime factorization of 89268 and 89277. After we will calculate the factors of 89268 and 89277 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 89277

Prime factors of 89277 are 3, 29759. Prime factorization of 89277 in exponential form is:

89277 = 3¹ × 29759¹

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 89277

List of positive integer factors of 89277 that divides 89268 without a remainder.

1, 3, 29759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89268 and 89277. The biggest common factor number is the GCF number.
So the greatest common factor 89268 and 89277 is 3.

Also check out the Least Common Multiple of 89268 and 89277