What is the Greatest Common Factor of 94884 and 94896?

Greatest common factor (GCF) of 94884 and 94896 is 12.

GCF(94884,94896) = 12

We will now calculate the prime factors of 94884 and 94896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94884 and 94896.

How to find the GCF of 94884 and 94896?

We will first find the prime factorization of 94884 and 94896. After we will calculate the factors of 94884 and 94896 and find the biggest common factor number .

Step-1: Prime Factorization of 94884

Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:

94884 = 2² × 3¹ × 7907¹

Step-2: Prime Factorization of 94896

Prime factors of 94896 are 2, 3, 659. Prime factorization of 94896 in exponential form is:

94896 = 2⁴ × 3² × 659¹

Step-3: Factors of 94884

List of positive integer factors of 94884 that divides 94884 without a remainder.

1, 2, 3, 4, 6, 12, 7907, 15814, 23721, 31628, 47442

Step-4: Factors of 94896

List of positive integer factors of 94896 that divides 94884 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 659, 1318, 1977, 2636, 3954, 5272, 5931, 7908, 10544, 11862, 15816, 23724, 31632, 47448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94884 and 94896. The biggest common factor number is the GCF number.
So the greatest common factor 94884 and 94896 is 12.

Also check out the Least Common Multiple of 94884 and 94896