What is the Greatest Common Factor of 94138 and 94150?

Greatest common factor (GCF) of 94138 and 94150 is 2.

GCF(94138,94150) = 2

We will now calculate the prime factors of 94138 and 94150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94138 and 94150.

How to find the GCF of 94138 and 94150?

We will first find the prime factorization of 94138 and 94150. After we will calculate the factors of 94138 and 94150 and find the biggest common factor number .

Step-1: Prime Factorization of 94138

Prime factors of 94138 are 2, 11, 389. Prime factorization of 94138 in exponential form is:

94138 = 2¹ × 11² × 389¹

Step-2: 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-3: Factors of 94138

List of positive integer factors of 94138 that divides 94138 without a remainder.

1, 2, 11, 22, 121, 242, 389, 778, 4279, 8558, 47069

Step-4: Factors of 94150

List of positive integer factors of 94150 that divides 94138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94138 and 94150. The biggest common factor number is the GCF number.
So the greatest common factor 94138 and 94150 is 2.

Also check out the Least Common Multiple of 94138 and 94150