What is the Greatest Common Factor of 70400 and 70416?

Greatest common factor (GCF) of 70400 and 70416 is 16.

GCF(70400,70416) = 16

We will now calculate the prime factors of 70400 and 70416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70400 and 70416.

How to find the GCF of 70400 and 70416?

We will first find the prime factorization of 70400 and 70416. After we will calculate the factors of 70400 and 70416 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 70416

Prime factors of 70416 are 2, 3, 163. Prime factorization of 70416 in exponential form is:

70416 = 2⁴ × 3³ × 163¹

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 70416

List of positive integer factors of 70416 that divides 70400 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 163, 216, 326, 432, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 4401, 5868, 7824, 8802, 11736, 17604, 23472, 35208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70400 and 70416. The biggest common factor number is the GCF number.
So the greatest common factor 70400 and 70416 is 16.

Also check out the Least Common Multiple of 70400 and 70416