What is the Greatest Common Factor of 89010 and 89022?

Greatest common factor (GCF) of 89010 and 89022 is 6.

GCF(89010,89022) = 6

We will now calculate the prime factors of 89010 and 89022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89010 and 89022.

How to find the GCF of 89010 and 89022?

We will first find the prime factorization of 89010 and 89022. After we will calculate the factors of 89010 and 89022 and find the biggest common factor number .

Step-1: Prime Factorization of 89010

Prime factors of 89010 are 2, 3, 5, 23, 43. Prime factorization of 89010 in exponential form is:

89010 = 2¹ × 3² × 5¹ × 23¹ × 43¹

Step-2: Prime Factorization of 89022

Prime factors of 89022 are 2, 3, 37, 401. Prime factorization of 89022 in exponential form is:

89022 = 2¹ × 3¹ × 37¹ × 401¹

Step-3: Factors of 89010

List of positive integer factors of 89010 that divides 89010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 43, 45, 46, 69, 86, 90, 115, 129, 138, 207, 215, 230, 258, 345, 387, 414, 430, 645, 690, 774, 989, 1035, 1290, 1935, 1978, 2070, 2967, 3870, 4945, 5934, 8901, 9890, 14835, 17802, 29670, 44505

Step-4: Factors of 89022

List of positive integer factors of 89022 that divides 89010 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 401, 802, 1203, 2406, 14837, 29674, 44511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89010 and 89022. The biggest common factor number is the GCF number.
So the greatest common factor 89010 and 89022 is 6.

Also check out the Least Common Multiple of 89010 and 89022