What is the Greatest Common Factor of 68880 and 68892?

Greatest common factor (GCF) of 68880 and 68892 is 12.

GCF(68880,68892) = 12

We will now calculate the prime factors of 68880 and 68892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68880 and 68892.

How to find the GCF of 68880 and 68892?

We will first find the prime factorization of 68880 and 68892. After we will calculate the factors of 68880 and 68892 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 68892

Prime factors of 68892 are 2, 3, 5741. Prime factorization of 68892 in exponential form is:

68892 = 2² × 3¹ × 5741¹

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 68892

List of positive integer factors of 68892 that divides 68880 without a remainder.

1, 2, 3, 4, 6, 12, 5741, 11482, 17223, 22964, 34446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68880 and 68892. The biggest common factor number is the GCF number.
So the greatest common factor 68880 and 68892 is 12.

Also check out the Least Common Multiple of 68880 and 68892