What is the Greatest Common Factor of 68880 and 68896?

Greatest common factor (GCF) of 68880 and 68896 is 16.

GCF(68880,68896) = 16

We will now calculate the prime factors of 68880 and 68896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68880 and 68896.

How to find the GCF of 68880 and 68896?

We will first find the prime factorization of 68880 and 68896. After we will calculate the factors of 68880 and 68896 and find the biggest common factor number .

Step-1: Prime Factorization of 68880

Prime factors of 68880 are 2, 3, 5, 7, 41. Prime factorization of 68880 in exponential form is:

68880 = 2⁴ × 3¹ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 68896

Prime factors of 68896 are 2, 2153. Prime factorization of 68896 in exponential form is:

68896 = 2⁵ × 2153¹

Step-3: Factors of 68880

List of positive integer factors of 68880 that divides 68880 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 41, 42, 48, 56, 60, 70, 80, 82, 84, 105, 112, 120, 123, 140, 164, 168, 205, 210, 240, 246, 280, 287, 328, 336, 410, 420, 492, 560, 574, 615, 656, 820, 840, 861, 984, 1148, 1230, 1435, 1640, 1680, 1722, 1968, 2296, 2460, 2870, 3280, 3444, 4305, 4592, 4920, 5740, 6888, 8610, 9840, 11480, 13776, 17220, 22960, 34440

Step-4: Factors of 68896

List of positive integer factors of 68896 that divides 68880 without a remainder.

1, 2, 4, 8, 16, 32, 2153, 4306, 8612, 17224, 34448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68880 and 68896. The biggest common factor number is the GCF number.
So the greatest common factor 68880 and 68896 is 16.

Also check out the Least Common Multiple of 68880 and 68896