What is the Greatest Common Factor of 98880 and 98896?

Greatest common factor (GCF) of 98880 and 98896 is 16.

GCF(98880,98896) = 16

We will now calculate the prime factors of 98880 and 98896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98880 and 98896.

How to find the GCF of 98880 and 98896?

We will first find the prime factorization of 98880 and 98896. After we will calculate the factors of 98880 and 98896 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 98896

Prime factors of 98896 are 2, 7, 883. Prime factorization of 98896 in exponential form is:

98896 = 2⁴ × 7¹ × 883¹

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 98896

List of positive integer factors of 98896 that divides 98880 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 883, 1766, 3532, 6181, 7064, 12362, 14128, 24724, 49448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98880 and 98896. The biggest common factor number is the GCF number.
So the greatest common factor 98880 and 98896 is 16.

Also check out the Least Common Multiple of 98880 and 98896