What is the Greatest Common Factor of 78400 and 78411?

Greatest common factor (GCF) of 78400 and 78411 is 1.

GCF(78400,78411) = 1

We will now calculate the prime factors of 78400 and 78411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78400 and 78411.

How to find the GCF of 78400 and 78411?

We will first find the prime factorization of 78400 and 78411. After we will calculate the factors of 78400 and 78411 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 78411

Prime factors of 78411 are 3, 59, 443. Prime factorization of 78411 in exponential form is:

78411 = 3¹ × 59¹ × 443¹

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 78411

List of positive integer factors of 78411 that divides 78400 without a remainder.

1, 3, 59, 177, 443, 1329, 26137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78400 and 78411. The biggest common factor number is the GCF number.
So the greatest common factor 78400 and 78411 is 1.

Also check out the Least Common Multiple of 78400 and 78411