What is the Greatest Common Factor of 94736 and 94750?

Greatest common factor (GCF) of 94736 and 94750 is 2.

GCF(94736,94750) = 2

We will now calculate the prime factors of 94736 and 94750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94736 and 94750.

How to find the GCF of 94736 and 94750?

We will first find the prime factorization of 94736 and 94750. After we will calculate the factors of 94736 and 94750 and find the biggest common factor number .

Step-1: Prime Factorization of 94736

Prime factors of 94736 are 2, 31, 191. Prime factorization of 94736 in exponential form is:

94736 = 2⁴ × 31¹ × 191¹

Step-2: Prime Factorization of 94750

Prime factors of 94750 are 2, 5, 379. Prime factorization of 94750 in exponential form is:

94750 = 2¹ × 5³ × 379¹

Step-3: Factors of 94736

List of positive integer factors of 94736 that divides 94736 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 191, 248, 382, 496, 764, 1528, 3056, 5921, 11842, 23684, 47368

Step-4: Factors of 94750

List of positive integer factors of 94750 that divides 94736 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 379, 758, 1895, 3790, 9475, 18950, 47375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94736 and 94750. The biggest common factor number is the GCF number.
So the greatest common factor 94736 and 94750 is 2.

Also check out the Least Common Multiple of 94736 and 94750