What is the Greatest Common Factor of 94000 and 94010?

Greatest common factor (GCF) of 94000 and 94010 is 10.

GCF(94000,94010) = 10

We will now calculate the prime factors of 94000 and 94010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94000 and 94010.

How to find the GCF of 94000 and 94010?

We will first find the prime factorization of 94000 and 94010. After we will calculate the factors of 94000 and 94010 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 94010

Prime factors of 94010 are 2, 5, 7, 17, 79. Prime factorization of 94010 in exponential form is:

94010 = 2¹ × 5¹ × 7¹ × 17¹ × 79¹

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 94010

List of positive integer factors of 94010 that divides 94000 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 79, 85, 119, 158, 170, 238, 395, 553, 595, 790, 1106, 1190, 1343, 2686, 2765, 5530, 6715, 9401, 13430, 18802, 47005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94000 and 94010. The biggest common factor number is the GCF number.
So the greatest common factor 94000 and 94010 is 10.

Also check out the Least Common Multiple of 94000 and 94010