What is the Greatest Common Factor of 94880 and 94896?

Greatest common factor (GCF) of 94880 and 94896 is 16.

GCF(94880,94896) = 16

We will now calculate the prime factors of 94880 and 94896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94880 and 94896.

How to find the GCF of 94880 and 94896?

We will first find the prime factorization of 94880 and 94896. After we will calculate the factors of 94880 and 94896 and find the biggest common factor number .

Step-1: Prime Factorization of 94880

Prime factors of 94880 are 2, 5, 593. Prime factorization of 94880 in exponential form is:

94880 = 2⁵ × 5¹ × 593¹

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 94880

List of positive integer factors of 94880 that divides 94880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 593, 1186, 2372, 2965, 4744, 5930, 9488, 11860, 18976, 23720, 47440

Step-4: Factors of 94896

List of positive integer factors of 94896 that divides 94880 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 94880 and 94896. The biggest common factor number is the GCF number.
So the greatest common factor 94880 and 94896 is 16.

Also check out the Least Common Multiple of 94880 and 94896