What is the Greatest Common Factor of 89262 and 89268?

Greatest common factor (GCF) of 89262 and 89268 is 6.

GCF(89262,89268) = 6

We will now calculate the prime factors of 89262 and 89268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89262 and 89268.

How to find the GCF of 89262 and 89268?

We will first find the prime factorization of 89262 and 89268. After we will calculate the factors of 89262 and 89268 and find the biggest common factor number .

Step-1: Prime Factorization of 89262

Prime factors of 89262 are 2, 3, 19, 29. Prime factorization of 89262 in exponential form is:

89262 = 2¹ × 3⁴ × 19¹ × 29¹

Step-2: 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-3: Factors of 89262

List of positive integer factors of 89262 that divides 89262 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 29, 38, 54, 57, 58, 81, 87, 114, 162, 171, 174, 261, 342, 513, 522, 551, 783, 1026, 1102, 1539, 1566, 1653, 2349, 3078, 3306, 4698, 4959, 9918, 14877, 29754, 44631

Step-4: Factors of 89268

List of positive integer factors of 89268 that divides 89262 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89262 and 89268. The biggest common factor number is the GCF number.
So the greatest common factor 89262 and 89268 is 6.

Also check out the Least Common Multiple of 89262 and 89268