What is the Greatest Common Factor of 70389 and 70400?

Greatest common factor (GCF) of 70389 and 70400 is 11.

GCF(70389,70400) = 11

We will now calculate the prime factors of 70389 and 70400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70389 and 70400.

How to find the GCF of 70389 and 70400?

We will first find the prime factorization of 70389 and 70400. After we will calculate the factors of 70389 and 70400 and find the biggest common factor number .

Step-1: Prime Factorization of 70389

Prime factors of 70389 are 3, 11, 79. Prime factorization of 70389 in exponential form is:

70389 = 3⁴ × 11¹ × 79¹

Step-2: 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-3: Factors of 70389

List of positive integer factors of 70389 that divides 70389 without a remainder.

1, 3, 9, 11, 27, 33, 79, 81, 99, 237, 297, 711, 869, 891, 2133, 2607, 6399, 7821, 23463

Step-4: Factors of 70400

List of positive integer factors of 70400 that divides 70389 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70389 and 70400. The biggest common factor number is the GCF number.
So the greatest common factor 70389 and 70400 is 11.

Also check out the Least Common Multiple of 70389 and 70400