What is the Greatest Common Factor of 89244 and 89262?

Greatest common factor (GCF) of 89244 and 89262 is 18.

GCF(89244,89262) = 18

We will now calculate the prime factors of 89244 and 89262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89244 and 89262.

How to find the GCF of 89244 and 89262?

We will first find the prime factorization of 89244 and 89262. After we will calculate the factors of 89244 and 89262 and find the biggest common factor number .

Step-1: Prime Factorization of 89244

Prime factors of 89244 are 2, 3, 37, 67. Prime factorization of 89244 in exponential form is:

89244 = 2² × 3² × 37¹ × 67¹

Step-2: 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-3: Factors of 89244

List of positive integer factors of 89244 that divides 89244 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 67, 74, 111, 134, 148, 201, 222, 268, 333, 402, 444, 603, 666, 804, 1206, 1332, 2412, 2479, 4958, 7437, 9916, 14874, 22311, 29748, 44622

Step-4: Factors of 89262

List of positive integer factors of 89262 that divides 89244 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89244 and 89262. The biggest common factor number is the GCF number.
So the greatest common factor 89244 and 89262 is 18.

Also check out the Least Common Multiple of 89244 and 89262