What is the Greatest Common Factor of 68875 and 68880?

Greatest common factor (GCF) of 68875 and 68880 is 5.

GCF(68875,68880) = 5

We will now calculate the prime factors of 68875 and 68880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68875 and 68880.

How to find the GCF of 68875 and 68880?

We will first find the prime factorization of 68875 and 68880. After we will calculate the factors of 68875 and 68880 and find the biggest common factor number .

Step-1: Prime Factorization of 68875

Prime factors of 68875 are 5, 19, 29. Prime factorization of 68875 in exponential form is:

68875 = 5³ × 19¹ × 29¹

Step-2: 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-3: Factors of 68875

List of positive integer factors of 68875 that divides 68875 without a remainder.

1, 5, 19, 25, 29, 95, 125, 145, 475, 551, 725, 2375, 2755, 3625, 13775

Step-4: Factors of 68880

List of positive integer factors of 68880 that divides 68875 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68875 and 68880. The biggest common factor number is the GCF number.
So the greatest common factor 68875 and 68880 is 5.

Also check out the Least Common Multiple of 68875 and 68880