What is the Greatest Common Factor of 94000 and 94014?

Greatest common factor (GCF) of 94000 and 94014 is 2.

GCF(94000,94014) = 2

We will now calculate the prime factors of 94000 and 94014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94000 and 94014.

How to find the GCF of 94000 and 94014?

We will first find the prime factorization of 94000 and 94014. After we will calculate the factors of 94000 and 94014 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94014

Prime factors of 94014 are 2, 3, 1741. Prime factorization of 94014 in exponential form is:

94014 = 2¹ × 3³ × 1741¹

Step-3: Factors of 94000

List of positive integer factors of 94000 that divides 94000 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

Step-4: Factors of 94014

List of positive integer factors of 94014 that divides 94000 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1741, 3482, 5223, 10446, 15669, 31338, 47007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94000 and 94014. The biggest common factor number is the GCF number.
So the greatest common factor 94000 and 94014 is 2.

Also check out the Least Common Multiple of 94000 and 94014