What is the Greatest Common Factor of 78800 and 78810?

Greatest common factor (GCF) of 78800 and 78810 is 10.

GCF(78800,78810) = 10

We will now calculate the prime factors of 78800 and 78810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78800 and 78810.

How to find the GCF of 78800 and 78810?

We will first find the prime factorization of 78800 and 78810. After we will calculate the factors of 78800 and 78810 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 78810

Prime factors of 78810 are 2, 3, 5, 37, 71. Prime factorization of 78810 in exponential form is:

78810 = 2¹ × 3¹ × 5¹ × 37¹ × 71¹

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 78810

List of positive integer factors of 78810 that divides 78800 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 71, 74, 111, 142, 185, 213, 222, 355, 370, 426, 555, 710, 1065, 1110, 2130, 2627, 5254, 7881, 13135, 15762, 26270, 39405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78800 and 78810. The biggest common factor number is the GCF number.
So the greatest common factor 78800 and 78810 is 10.

Also check out the Least Common Multiple of 78800 and 78810