What is the Greatest Common Factor of 89268 and 89284?

Greatest common factor (GCF) of 89268 and 89284 is 4.

GCF(89268,89284) = 4

We will now calculate the prime factors of 89268 and 89284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89268 and 89284.

How to find the GCF of 89268 and 89284?

We will first find the prime factorization of 89268 and 89284. After we will calculate the factors of 89268 and 89284 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 89284

Prime factors of 89284 are 2, 13, 17, 101. Prime factorization of 89284 in exponential form is:

89284 = 2² × 13¹ × 17¹ × 101¹

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 89284

List of positive integer factors of 89284 that divides 89268 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 101, 202, 221, 404, 442, 884, 1313, 1717, 2626, 3434, 5252, 6868, 22321, 44642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89268 and 89284. The biggest common factor number is the GCF number.
So the greatest common factor 89268 and 89284 is 4.

Also check out the Least Common Multiple of 89268 and 89284