What is the Greatest Common Factor of 68880 and 68897?

Greatest common factor (GCF) of 68880 and 68897 is 1.

GCF(68880,68897) = 1

We will now calculate the prime factors of 68880 and 68897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68880 and 68897.

How to find the GCF of 68880 and 68897?

We will first find the prime factorization of 68880 and 68897. After we will calculate the factors of 68880 and 68897 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 68897

Prime factors of 68897 are 68897. Prime factorization of 68897 in exponential form is:

68897 = 68897¹

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 68897

List of positive integer factors of 68897 that divides 68880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68880 and 68897. The biggest common factor number is the GCF number.
So the greatest common factor 68880 and 68897 is 1.

Also check out the Least Common Multiple of 68880 and 68897