What is the Greatest Common Factor of 89784 and 89799?

Greatest common factor (GCF) of 89784 and 89799 is 3.

GCF(89784,89799) = 3

We will now calculate the prime factors of 89784 and 89799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89784 and 89799.

How to find the GCF of 89784 and 89799?

We will first find the prime factorization of 89784 and 89799. After we will calculate the factors of 89784 and 89799 and find the biggest common factor number .

Step-1: Prime Factorization of 89784

Prime factors of 89784 are 2, 3, 29, 43. Prime factorization of 89784 in exponential form is:

89784 = 2³ × 3² × 29¹ × 43¹

Step-2: Prime Factorization of 89799

Prime factors of 89799 are 3, 37, 809. Prime factorization of 89799 in exponential form is:

89799 = 3¹ × 37¹ × 809¹

Step-3: Factors of 89784

List of positive integer factors of 89784 that divides 89784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 43, 58, 72, 86, 87, 116, 129, 172, 174, 232, 258, 261, 344, 348, 387, 516, 522, 696, 774, 1032, 1044, 1247, 1548, 2088, 2494, 3096, 3741, 4988, 7482, 9976, 11223, 14964, 22446, 29928, 44892

Step-4: Factors of 89799

List of positive integer factors of 89799 that divides 89784 without a remainder.

1, 3, 37, 111, 809, 2427, 29933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89784 and 89799. The biggest common factor number is the GCF number.
So the greatest common factor 89784 and 89799 is 3.

Also check out the Least Common Multiple of 89784 and 89799