What is the Greatest Common Factor of 89010 and 89018?

Greatest common factor (GCF) of 89010 and 89018 is 2.

GCF(89010,89018) = 2

We will now calculate the prime factors of 89010 and 89018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89010 and 89018.

How to find the GCF of 89010 and 89018?

We will first find the prime factorization of 89010 and 89018. After we will calculate the factors of 89010 and 89018 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 89018

Prime factors of 89018 are 2, 47, 947. Prime factorization of 89018 in exponential form is:

89018 = 2¹ × 47¹ × 947¹

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 89018

List of positive integer factors of 89018 that divides 89010 without a remainder.

1, 2, 47, 94, 947, 1894, 44509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89010 and 89018. The biggest common factor number is the GCF number.
So the greatest common factor 89010 and 89018 is 2.

Also check out the Least Common Multiple of 89010 and 89018