What is the Greatest Common Factor of 68800 and 68820?

Greatest common factor (GCF) of 68800 and 68820 is 20.

GCF(68800,68820) = 20

We will now calculate the prime factors of 68800 and 68820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68800 and 68820.

How to find the GCF of 68800 and 68820?

We will first find the prime factorization of 68800 and 68820. After we will calculate the factors of 68800 and 68820 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 68820

Prime factors of 68820 are 2, 3, 5, 31, 37. Prime factorization of 68820 in exponential form is:

68820 = 2² × 3¹ × 5¹ × 31¹ × 37¹

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 68820

List of positive integer factors of 68820 that divides 68800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 37, 60, 62, 74, 93, 111, 124, 148, 155, 185, 186, 222, 310, 370, 372, 444, 465, 555, 620, 740, 930, 1110, 1147, 1860, 2220, 2294, 3441, 4588, 5735, 6882, 11470, 13764, 17205, 22940, 34410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68800 and 68820. The biggest common factor number is the GCF number.
So the greatest common factor 68800 and 68820 is 20.

Also check out the Least Common Multiple of 68800 and 68820