What is the Greatest Common Factor of 68800 and 68809?

Greatest common factor (GCF) of 68800 and 68809 is 1.

GCF(68800,68809) = 1

We will now calculate the prime factors of 68800 and 68809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68800 and 68809.

How to find the GCF of 68800 and 68809?

We will first find the prime factorization of 68800 and 68809. After we will calculate the factors of 68800 and 68809 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 68809

Prime factors of 68809 are 13, 67, 79. Prime factorization of 68809 in exponential form is:

68809 = 13¹ × 67¹ × 79¹

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 68809

List of positive integer factors of 68809 that divides 68800 without a remainder.

1, 13, 67, 79, 871, 1027, 5293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68800 and 68809. The biggest common factor number is the GCF number.
So the greatest common factor 68800 and 68809 is 1.

Also check out the Least Common Multiple of 68800 and 68809