What is the Greatest Common Factor of 78800 and 78813?

Greatest common factor (GCF) of 78800 and 78813 is 1.

GCF(78800,78813) = 1

We will now calculate the prime factors of 78800 and 78813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78800 and 78813.

How to find the GCF of 78800 and 78813?

We will first find the prime factorization of 78800 and 78813. After we will calculate the factors of 78800 and 78813 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 78813

Prime factors of 78813 are 3, 7, 139. Prime factorization of 78813 in exponential form is:

78813 = 3⁴ × 7¹ × 139¹

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 78813

List of positive integer factors of 78813 that divides 78800 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 139, 189, 417, 567, 973, 1251, 2919, 3753, 8757, 11259, 26271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78800 and 78813. The biggest common factor number is the GCF number.
So the greatest common factor 78800 and 78813 is 1.

Also check out the Least Common Multiple of 78800 and 78813