What is the Greatest Common Factor of 88995 and 89010?

Greatest common factor (GCF) of 88995 and 89010 is 15.

GCF(88995,89010) = 15

We will now calculate the prime factors of 88995 and 89010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88995 and 89010.

How to find the GCF of 88995 and 89010?

We will first find the prime factorization of 88995 and 89010. After we will calculate the factors of 88995 and 89010 and find the biggest common factor number .

Step-1: Prime Factorization of 88995

Prime factors of 88995 are 3, 5, 17, 349. Prime factorization of 88995 in exponential form is:

88995 = 3¹ × 5¹ × 17¹ × 349¹

Step-2: 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-3: Factors of 88995

List of positive integer factors of 88995 that divides 88995 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 349, 1047, 1745, 5235, 5933, 17799, 29665

Step-4: Factors of 89010

List of positive integer factors of 89010 that divides 88995 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88995 and 89010. The biggest common factor number is the GCF number.
So the greatest common factor 88995 and 89010 is 15.

Also check out the Least Common Multiple of 88995 and 89010