What is the Greatest Common Factor of 89769 and 89784?

Greatest common factor (GCF) of 89769 and 89784 is 3.

GCF(89769,89784) = 3

We will now calculate the prime factors of 89769 and 89784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89769 and 89784.

How to find the GCF of 89769 and 89784?

We will first find the prime factorization of 89769 and 89784. After we will calculate the factors of 89769 and 89784 and find the biggest common factor number .

Step-1: Prime Factorization of 89769

Prime factors of 89769 are 3, 23, 1301. Prime factorization of 89769 in exponential form is:

89769 = 3¹ × 23¹ × 1301¹

Step-2: 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-3: Factors of 89769

List of positive integer factors of 89769 that divides 89769 without a remainder.

1, 3, 23, 69, 1301, 3903, 29923

Step-4: Factors of 89784

List of positive integer factors of 89784 that divides 89769 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89769 and 89784. The biggest common factor number is the GCF number.
So the greatest common factor 89769 and 89784 is 3.

Also check out the Least Common Multiple of 89769 and 89784