What is the Greatest Common Factor of 93984 and 94000?

Greatest common factor (GCF) of 93984 and 94000 is 16.

GCF(93984,94000) = 16

We will now calculate the prime factors of 93984 and 94000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93984 and 94000.

How to find the GCF of 93984 and 94000?

We will first find the prime factorization of 93984 and 94000. After we will calculate the factors of 93984 and 94000 and find the biggest common factor number .

Step-1: Prime Factorization of 93984

Prime factors of 93984 are 2, 3, 11, 89. Prime factorization of 93984 in exponential form is:

93984 = 2⁵ × 3¹ × 11¹ × 89¹

Step-2: Prime Factorization of 94000

Prime factors of 94000 are 2, 5, 47. Prime factorization of 94000 in exponential form is:

94000 = 2⁴ × 5³ × 47¹

Step-3: Factors of 93984

List of positive integer factors of 93984 that divides 93984 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 89, 96, 132, 176, 178, 264, 267, 352, 356, 528, 534, 712, 979, 1056, 1068, 1424, 1958, 2136, 2848, 2937, 3916, 4272, 5874, 7832, 8544, 11748, 15664, 23496, 31328, 46992

Step-4: Factors of 94000

List of positive integer factors of 94000 that divides 93984 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 47, 50, 80, 94, 100, 125, 188, 200, 235, 250, 376, 400, 470, 500, 752, 940, 1000, 1175, 1880, 2000, 2350, 3760, 4700, 5875, 9400, 11750, 18800, 23500, 47000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93984 and 94000. The biggest common factor number is the GCF number.
So the greatest common factor 93984 and 94000 is 16.

Also check out the Least Common Multiple of 93984 and 94000