What is the Greatest Common Factor of 98880 and 98895?

Greatest common factor (GCF) of 98880 and 98895 is 15.

GCF(98880,98895) = 15

We will now calculate the prime factors of 98880 and 98895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98880 and 98895.

How to find the GCF of 98880 and 98895?

We will first find the prime factorization of 98880 and 98895. After we will calculate the factors of 98880 and 98895 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 98895

Prime factors of 98895 are 3, 5, 19, 347. Prime factorization of 98895 in exponential form is:

98895 = 3¹ × 5¹ × 19¹ × 347¹

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 98895

List of positive integer factors of 98895 that divides 98880 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 347, 1041, 1735, 5205, 6593, 19779, 32965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98880 and 98895. The biggest common factor number is the GCF number.
So the greatest common factor 98880 and 98895 is 15.

Also check out the Least Common Multiple of 98880 and 98895