What is the Greatest Common Factor of 68800 and 68808?

Greatest common factor (GCF) of 68800 and 68808 is 8.

GCF(68800,68808) = 8

We will now calculate the prime factors of 68800 and 68808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68800 and 68808.

How to find the GCF of 68800 and 68808?

We will first find the prime factorization of 68800 and 68808. After we will calculate the factors of 68800 and 68808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68808

Prime factors of 68808 are 2, 3, 47, 61. Prime factorization of 68808 in exponential form is:

68808 = 2³ × 3¹ × 47¹ × 61¹

Step-3: Factors of 68800

List of positive integer factors of 68800 that divides 68800 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

Step-4: Factors of 68808

List of positive integer factors of 68808 that divides 68800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 61, 94, 122, 141, 183, 188, 244, 282, 366, 376, 488, 564, 732, 1128, 1464, 2867, 5734, 8601, 11468, 17202, 22936, 34404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68800 and 68808. The biggest common factor number is the GCF number.
So the greatest common factor 68800 and 68808 is 8.

Also check out the Least Common Multiple of 68800 and 68808