What is the Greatest Common Factor of 98880 and 98889?

Greatest common factor (GCF) of 98880 and 98889 is 3.

GCF(98880,98889) = 3

We will now calculate the prime factors of 98880 and 98889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98880 and 98889.

How to find the GCF of 98880 and 98889?

We will first find the prime factorization of 98880 and 98889. After we will calculate the factors of 98880 and 98889 and find the biggest common factor number .

Step-1: Prime Factorization of 98880

Prime factors of 98880 are 2, 3, 5, 103. Prime factorization of 98880 in exponential form is:

98880 = 2⁶ × 3¹ × 5¹ × 103¹

Step-2: Prime Factorization of 98889

Prime factors of 98889 are 3, 7, 17, 277. Prime factorization of 98889 in exponential form is:

98889 = 3¹ × 7¹ × 17¹ × 277¹

Step-3: Factors of 98880

List of positive integer factors of 98880 that divides 98880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 103, 120, 160, 192, 206, 240, 309, 320, 412, 480, 515, 618, 824, 960, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 6592, 8240, 9888, 12360, 16480, 19776, 24720, 32960, 49440

Step-4: Factors of 98889

List of positive integer factors of 98889 that divides 98880 without a remainder.

1, 3, 7, 17, 21, 51, 119, 277, 357, 831, 1939, 4709, 5817, 14127, 32963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98880 and 98889. The biggest common factor number is the GCF number.
So the greatest common factor 98880 and 98889 is 3.

Also check out the Least Common Multiple of 98880 and 98889