What is the Greatest Common Factor of 68792 and 68800?

Greatest common factor (GCF) of 68792 and 68800 is 8.

GCF(68792,68800) = 8

We will now calculate the prime factors of 68792 and 68800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68792 and 68800.

How to find the GCF of 68792 and 68800?

We will first find the prime factorization of 68792 and 68800. After we will calculate the factors of 68792 and 68800 and find the biggest common factor number .

Step-1: Prime Factorization of 68792

Prime factors of 68792 are 2, 8599. Prime factorization of 68792 in exponential form is:

68792 = 2³ × 8599¹

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 68792

List of positive integer factors of 68792 that divides 68792 without a remainder.

1, 2, 4, 8, 8599, 17198, 34396

Step-4: Factors of 68800

List of positive integer factors of 68800 that divides 68792 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 68792 and 68800. The biggest common factor number is the GCF number.
So the greatest common factor 68792 and 68800 is 8.

Also check out the Least Common Multiple of 68792 and 68800