What is the Greatest Common Factor of 94844 and 94856?

Greatest common factor (GCF) of 94844 and 94856 is 4.

GCF(94844,94856) = 4

We will now calculate the prime factors of 94844 and 94856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94844 and 94856.

How to find the GCF of 94844 and 94856?

We will first find the prime factorization of 94844 and 94856. After we will calculate the factors of 94844 and 94856 and find the biggest common factor number .

Step-1: Prime Factorization of 94844

Prime factors of 94844 are 2, 131, 181. Prime factorization of 94844 in exponential form is:

94844 = 2² × 131¹ × 181¹

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 94844

List of positive integer factors of 94844 that divides 94844 without a remainder.

1, 2, 4, 131, 181, 262, 362, 524, 724, 23711, 47422

Step-4: Factors of 94856

List of positive integer factors of 94856 that divides 94844 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 94844 and 94856. The biggest common factor number is the GCF number.
So the greatest common factor 94844 and 94856 is 4.

Also check out the Least Common Multiple of 94844 and 94856