What is the Greatest Common Factor of 89244 and 89259?

Greatest common factor (GCF) of 89244 and 89259 is 3.

GCF(89244,89259) = 3

We will now calculate the prime factors of 89244 and 89259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89244 and 89259.

How to find the GCF of 89244 and 89259?

We will first find the prime factorization of 89244 and 89259. After we will calculate the factors of 89244 and 89259 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 89259

Prime factors of 89259 are 3, 29753. Prime factorization of 89259 in exponential form is:

89259 = 3¹ × 29753¹

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 89259

List of positive integer factors of 89259 that divides 89244 without a remainder.

1, 3, 29753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89244 and 89259. The biggest common factor number is the GCF number.
So the greatest common factor 89244 and 89259 is 3.

Also check out the Least Common Multiple of 89244 and 89259