What is the Greatest Common Factor of 78400 and 78413?

Greatest common factor (GCF) of 78400 and 78413 is 1.

GCF(78400,78413) = 1

We will now calculate the prime factors of 78400 and 78413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78400 and 78413.

How to find the GCF of 78400 and 78413?

We will first find the prime factorization of 78400 and 78413. After we will calculate the factors of 78400 and 78413 and find the biggest common factor number .

Step-1: Prime Factorization of 78400

Prime factors of 78400 are 2, 5, 7. Prime factorization of 78400 in exponential form is:

78400 = 2⁶ × 5² × 7²

Step-2: Prime Factorization of 78413

Prime factors of 78413 are 19, 4127. Prime factorization of 78413 in exponential form is:

78413 = 19¹ × 4127¹

Step-3: Factors of 78400

List of positive integer factors of 78400 that divides 78400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 49, 50, 56, 64, 70, 80, 98, 100, 112, 140, 160, 175, 196, 200, 224, 245, 280, 320, 350, 392, 400, 448, 490, 560, 700, 784, 800, 980, 1120, 1225, 1400, 1568, 1600, 1960, 2240, 2450, 2800, 3136, 3920, 4900, 5600, 7840, 9800, 11200, 15680, 19600, 39200

Step-4: Factors of 78413

List of positive integer factors of 78413 that divides 78400 without a remainder.

1, 19, 4127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78400 and 78413. The biggest common factor number is the GCF number.
So the greatest common factor 78400 and 78413 is 1.

Also check out the Least Common Multiple of 78400 and 78413