What is the Greatest Common Factor of 78785 and 78800?

Greatest common factor (GCF) of 78785 and 78800 is 5.

GCF(78785,78800) = 5

We will now calculate the prime factors of 78785 and 78800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78785 and 78800.

How to find the GCF of 78785 and 78800?

We will first find the prime factorization of 78785 and 78800. After we will calculate the factors of 78785 and 78800 and find the biggest common factor number .

Step-1: Prime Factorization of 78785

Prime factors of 78785 are 5, 7, 2251. Prime factorization of 78785 in exponential form is:

78785 = 5¹ × 7¹ × 2251¹

Step-2: 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-3: Factors of 78785

List of positive integer factors of 78785 that divides 78785 without a remainder.

1, 5, 7, 35, 2251, 11255, 15757

Step-4: Factors of 78800

List of positive integer factors of 78800 that divides 78785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78785 and 78800. The biggest common factor number is the GCF number.
So the greatest common factor 78785 and 78800 is 5.

Also check out the Least Common Multiple of 78785 and 78800