What is the Greatest Common Factor of 89010 and 89025?

Greatest common factor (GCF) of 89010 and 89025 is 15.

GCF(89010,89025) = 15

We will now calculate the prime factors of 89010 and 89025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89010 and 89025.

How to find the GCF of 89010 and 89025?

We will first find the prime factorization of 89010 and 89025. After we will calculate the factors of 89010 and 89025 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 89025

Prime factors of 89025 are 3, 5, 1187. Prime factorization of 89025 in exponential form is:

89025 = 3¹ × 5² × 1187¹

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 89025

List of positive integer factors of 89025 that divides 89010 without a remainder.

1, 3, 5, 15, 25, 75, 1187, 3561, 5935, 17805, 29675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89010 and 89025. The biggest common factor number is the GCF number.
So the greatest common factor 89010 and 89025 is 15.

Also check out the Least Common Multiple of 89010 and 89025