What is the Greatest Common Factor of 89268 and 89288?

Greatest common factor (GCF) of 89268 and 89288 is 4.

GCF(89268,89288) = 4

We will now calculate the prime factors of 89268 and 89288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89268 and 89288.

How to find the GCF of 89268 and 89288?

We will first find the prime factorization of 89268 and 89288. After we will calculate the factors of 89268 and 89288 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 89288

Prime factors of 89288 are 2, 11161. Prime factorization of 89288 in exponential form is:

89288 = 2³ × 11161¹

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 89288

List of positive integer factors of 89288 that divides 89268 without a remainder.

1, 2, 4, 8, 11161, 22322, 44644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89268 and 89288. The biggest common factor number is the GCF number.
So the greatest common factor 89268 and 89288 is 4.

Also check out the Least Common Multiple of 89268 and 89288