What is the Greatest Common Factor of 88992 and 89010?

Greatest common factor (GCF) of 88992 and 89010 is 18.

GCF(88992,89010) = 18

We will now calculate the prime factors of 88992 and 89010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88992 and 89010.

How to find the GCF of 88992 and 89010?

We will first find the prime factorization of 88992 and 89010. After we will calculate the factors of 88992 and 89010 and find the biggest common factor number .

Step-1: Prime Factorization of 88992

Prime factors of 88992 are 2, 3, 103. Prime factorization of 88992 in exponential form is:

88992 = 2⁵ × 3³ × 103¹

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 88992

List of positive integer factors of 88992 that divides 88992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 103, 108, 144, 206, 216, 288, 309, 412, 432, 618, 824, 864, 927, 1236, 1648, 1854, 2472, 2781, 3296, 3708, 4944, 5562, 7416, 9888, 11124, 14832, 22248, 29664, 44496

Step-4: Factors of 89010

List of positive integer factors of 89010 that divides 88992 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 88992 and 89010. The biggest common factor number is the GCF number.
So the greatest common factor 88992 and 89010 is 18.

Also check out the Least Common Multiple of 88992 and 89010