What is the Greatest Common Factor of 94838 and 94856?

Greatest common factor (GCF) of 94838 and 94856 is 2.

GCF(94838,94856) = 2

We will now calculate the prime factors of 94838 and 94856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94838 and 94856.

How to find the GCF of 94838 and 94856?

We will first find the prime factorization of 94838 and 94856. After we will calculate the factors of 94838 and 94856 and find the biggest common factor number .

Step-1: Prime Factorization of 94838

Prime factors of 94838 are 2, 47419. Prime factorization of 94838 in exponential form is:

94838 = 2¹ × 47419¹

Step-2: Prime Factorization of 94856

Prime factors of 94856 are 2, 71, 167. Prime factorization of 94856 in exponential form is:

94856 = 2³ × 71¹ × 167¹

Step-3: Factors of 94838

List of positive integer factors of 94838 that divides 94838 without a remainder.

1, 2, 47419

Step-4: Factors of 94856

List of positive integer factors of 94856 that divides 94838 without a remainder.

1, 2, 4, 8, 71, 142, 167, 284, 334, 568, 668, 1336, 11857, 23714, 47428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94838 and 94856. The biggest common factor number is the GCF number.
So the greatest common factor 94838 and 94856 is 2.

Also check out the Least Common Multiple of 94838 and 94856