What is the Greatest Common Factor of 89268 and 89286?

Greatest common factor (GCF) of 89268 and 89286 is 6.

GCF(89268,89286) = 6

We will now calculate the prime factors of 89268 and 89286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89268 and 89286.

How to find the GCF of 89268 and 89286?

We will first find the prime factorization of 89268 and 89286. After we will calculate the factors of 89268 and 89286 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 89286

Prime factors of 89286 are 2, 3, 23, 647. Prime factorization of 89286 in exponential form is:

89286 = 2¹ × 3¹ × 23¹ × 647¹

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 89286

List of positive integer factors of 89286 that divides 89268 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 647, 1294, 1941, 3882, 14881, 29762, 44643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89268 and 89286. The biggest common factor number is the GCF number.
So the greatest common factor 89268 and 89286 is 6.

Also check out the Least Common Multiple of 89268 and 89286