What is the Greatest Common Factor of 89334 and 89352?

Greatest common factor (GCF) of 89334 and 89352 is 18.

GCF(89334,89352) = 18

We will now calculate the prime factors of 89334 and 89352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89334 and 89352.

How to find the GCF of 89334 and 89352?

We will first find the prime factorization of 89334 and 89352. After we will calculate the factors of 89334 and 89352 and find the biggest common factor number .

Step-1: Prime Factorization of 89334

Prime factors of 89334 are 2, 3, 7, 709. Prime factorization of 89334 in exponential form is:

89334 = 2¹ × 3² × 7¹ × 709¹

Step-2: Prime Factorization of 89352

Prime factors of 89352 are 2, 3, 17, 73. Prime factorization of 89352 in exponential form is:

89352 = 2³ × 3² × 17¹ × 73¹

Step-3: Factors of 89334

List of positive integer factors of 89334 that divides 89334 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 709, 1418, 2127, 4254, 4963, 6381, 9926, 12762, 14889, 29778, 44667

Step-4: Factors of 89352

List of positive integer factors of 89352 that divides 89334 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 73, 102, 136, 146, 153, 204, 219, 292, 306, 408, 438, 584, 612, 657, 876, 1224, 1241, 1314, 1752, 2482, 2628, 3723, 4964, 5256, 7446, 9928, 11169, 14892, 22338, 29784, 44676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89334 and 89352. The biggest common factor number is the GCF number.
So the greatest common factor 89334 and 89352 is 18.

Also check out the Least Common Multiple of 89334 and 89352