What is the Greatest Common Factor of 94150 and 94165?

Greatest common factor (GCF) of 94150 and 94165 is 5.

GCF(94150,94165) = 5

We will now calculate the prime factors of 94150 and 94165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94150 and 94165.

How to find the GCF of 94150 and 94165?

We will first find the prime factorization of 94150 and 94165. After we will calculate the factors of 94150 and 94165 and find the biggest common factor number .

Step-1: Prime Factorization of 94150

Prime factors of 94150 are 2, 5, 7, 269. Prime factorization of 94150 in exponential form is:

94150 = 2¹ × 5² × 7¹ × 269¹

Step-2: Prime Factorization of 94165

Prime factors of 94165 are 5, 37, 509. Prime factorization of 94165 in exponential form is:

94165 = 5¹ × 37¹ × 509¹

Step-3: Factors of 94150

List of positive integer factors of 94150 that divides 94150 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 269, 350, 538, 1345, 1883, 2690, 3766, 6725, 9415, 13450, 18830, 47075

Step-4: Factors of 94165

List of positive integer factors of 94165 that divides 94150 without a remainder.

1, 5, 37, 185, 509, 2545, 18833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94150 and 94165. The biggest common factor number is the GCF number.
So the greatest common factor 94150 and 94165 is 5.

Also check out the Least Common Multiple of 94150 and 94165