What is the Greatest Common Factor of 68782 and 68800?

Greatest common factor (GCF) of 68782 and 68800 is 2.

GCF(68782,68800) = 2

We will now calculate the prime factors of 68782 and 68800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68782 and 68800.

How to find the GCF of 68782 and 68800?

We will first find the prime factorization of 68782 and 68800. After we will calculate the factors of 68782 and 68800 and find the biggest common factor number .

Step-1: Prime Factorization of 68782

Prime factors of 68782 are 2, 7, 17. Prime factorization of 68782 in exponential form is:

68782 = 2¹ × 7¹ × 17³

Step-2: Prime Factorization of 68800

Prime factors of 68800 are 2, 5, 43. Prime factorization of 68800 in exponential form is:

68800 = 2⁶ × 5² × 43¹

Step-3: Factors of 68782

List of positive integer factors of 68782 that divides 68782 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391

Step-4: Factors of 68800

List of positive integer factors of 68800 that divides 68782 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 43, 50, 64, 80, 86, 100, 160, 172, 200, 215, 320, 344, 400, 430, 688, 800, 860, 1075, 1376, 1600, 1720, 2150, 2752, 3440, 4300, 6880, 8600, 13760, 17200, 34400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68782 and 68800. The biggest common factor number is the GCF number.
So the greatest common factor 68782 and 68800 is 2.

Also check out the Least Common Multiple of 68782 and 68800