What is the Greatest Common Factor of 78396 and 78400?

Greatest common factor (GCF) of 78396 and 78400 is 4.

GCF(78396,78400) = 4

We will now calculate the prime factors of 78396 and 78400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78396 and 78400.

How to find the GCF of 78396 and 78400?

We will first find the prime factorization of 78396 and 78400. After we will calculate the factors of 78396 and 78400 and find the biggest common factor number .

Step-1: Prime Factorization of 78396

Prime factors of 78396 are 2, 3, 47, 139. Prime factorization of 78396 in exponential form is:

78396 = 2² × 3¹ × 47¹ × 139¹

Step-2: 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-3: Factors of 78396

List of positive integer factors of 78396 that divides 78396 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 139, 141, 188, 278, 282, 417, 556, 564, 834, 1668, 6533, 13066, 19599, 26132, 39198

Step-4: Factors of 78400

List of positive integer factors of 78400 that divides 78396 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78396 and 78400. The biggest common factor number is the GCF number.
So the greatest common factor 78396 and 78400 is 4.

Also check out the Least Common Multiple of 78396 and 78400