What is the Greatest Common Factor of 70400 and 70409?

Greatest common factor (GCF) of 70400 and 70409 is 1.

GCF(70400,70409) = 1

We will now calculate the prime factors of 70400 and 70409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70400 and 70409.

How to find the GCF of 70400 and 70409?

We will first find the prime factorization of 70400 and 70409. After we will calculate the factors of 70400 and 70409 and find the biggest common factor number .

Step-1: Prime Factorization of 70400

Prime factors of 70400 are 2, 5, 11. Prime factorization of 70400 in exponential form is:

70400 = 2⁸ × 5² × 11¹

Step-2: Prime Factorization of 70409

Prime factors of 70409 are 181, 389. Prime factorization of 70409 in exponential form is:

70409 = 181¹ × 389¹

Step-3: Factors of 70400

List of positive integer factors of 70400 that divides 70400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 128, 160, 176, 200, 220, 256, 275, 320, 352, 400, 440, 550, 640, 704, 800, 880, 1100, 1280, 1408, 1600, 1760, 2200, 2816, 3200, 3520, 4400, 6400, 7040, 8800, 14080, 17600, 35200

Step-4: Factors of 70409

List of positive integer factors of 70409 that divides 70400 without a remainder.

1, 181, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70400 and 70409. The biggest common factor number is the GCF number.
So the greatest common factor 70400 and 70409 is 1.

Also check out the Least Common Multiple of 70400 and 70409