What is the Greatest Common Factor of 78800 and 78806?

Greatest common factor (GCF) of 78800 and 78806 is 2.

GCF(78800,78806) = 2

We will now calculate the prime factors of 78800 and 78806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78800 and 78806.

How to find the GCF of 78800 and 78806?

We will first find the prime factorization of 78800 and 78806. After we will calculate the factors of 78800 and 78806 and find the biggest common factor number .

Step-1: Prime Factorization of 78800

Prime factors of 78800 are 2, 5, 197. Prime factorization of 78800 in exponential form is:

78800 = 2⁴ × 5² × 197¹

Step-2: Prime Factorization of 78806

Prime factors of 78806 are 2, 7, 13, 433. Prime factorization of 78806 in exponential form is:

78806 = 2¹ × 7¹ × 13¹ × 433¹

Step-3: Factors of 78800

List of positive integer factors of 78800 that divides 78800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 197, 200, 394, 400, 788, 985, 1576, 1970, 3152, 3940, 4925, 7880, 9850, 15760, 19700, 39400

Step-4: Factors of 78806

List of positive integer factors of 78806 that divides 78800 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 433, 866, 3031, 5629, 6062, 11258, 39403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78800 and 78806. The biggest common factor number is the GCF number.
So the greatest common factor 78800 and 78806 is 2.

Also check out the Least Common Multiple of 78800 and 78806