What is the Greatest Common Factor of 94896 and 94914?

Greatest common factor (GCF) of 94896 and 94914 is 18.

GCF(94896,94914) = 18

We will now calculate the prime factors of 94896 and 94914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94896 and 94914.

How to find the GCF of 94896 and 94914?

We will first find the prime factorization of 94896 and 94914. After we will calculate the factors of 94896 and 94914 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94914

Prime factors of 94914 are 2, 3, 5273. Prime factorization of 94914 in exponential form is:

94914 = 2¹ × 3² × 5273¹

Step-3: Factors of 94896

List of positive integer factors of 94896 that divides 94896 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

Step-4: Factors of 94914

List of positive integer factors of 94914 that divides 94896 without a remainder.

1, 2, 3, 6, 9, 18, 5273, 10546, 15819, 31638, 47457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94896 and 94914. The biggest common factor number is the GCF number.
So the greatest common factor 94896 and 94914 is 18.

Also check out the Least Common Multiple of 94896 and 94914