What is the Greatest Common Factor of 89320 and 89334?

Greatest common factor (GCF) of 89320 and 89334 is 14.

GCF(89320,89334) = 14

We will now calculate the prime factors of 89320 and 89334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89320 and 89334.

How to find the GCF of 89320 and 89334?

We will first find the prime factorization of 89320 and 89334. After we will calculate the factors of 89320 and 89334 and find the biggest common factor number .

Step-1: Prime Factorization of 89320

Prime factors of 89320 are 2, 5, 7, 11, 29. Prime factorization of 89320 in exponential form is:

89320 = 2³ × 5¹ × 7¹ × 11¹ × 29¹

Step-2: 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-3: Factors of 89320

List of positive integer factors of 89320 that divides 89320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 29, 35, 40, 44, 55, 56, 58, 70, 77, 88, 110, 116, 140, 145, 154, 203, 220, 232, 280, 290, 308, 319, 385, 406, 440, 580, 616, 638, 770, 812, 1015, 1160, 1276, 1540, 1595, 1624, 2030, 2233, 2552, 3080, 3190, 4060, 4466, 6380, 8120, 8932, 11165, 12760, 17864, 22330, 44660

Step-4: Factors of 89334

List of positive integer factors of 89334 that divides 89320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89320 and 89334. The biggest common factor number is the GCF number.
So the greatest common factor 89320 and 89334 is 14.

Also check out the Least Common Multiple of 89320 and 89334