What is the Greatest Common Factor of 95584 and 95600?

Greatest common factor (GCF) of 95584 and 95600 is 16.

GCF(95584,95600) = 16

We will now calculate the prime factors of 95584 and 95600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95584 and 95600.

How to find the GCF of 95584 and 95600?

We will first find the prime factorization of 95584 and 95600. After we will calculate the factors of 95584 and 95600 and find the biggest common factor number .

Step-1: Prime Factorization of 95584

Prime factors of 95584 are 2, 29, 103. Prime factorization of 95584 in exponential form is:

95584 = 2⁵ × 29¹ × 103¹

Step-2: Prime Factorization of 95600

Prime factors of 95600 are 2, 5, 239. Prime factorization of 95600 in exponential form is:

95600 = 2⁴ × 5² × 239¹

Step-3: Factors of 95584

List of positive integer factors of 95584 that divides 95584 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 103, 116, 206, 232, 412, 464, 824, 928, 1648, 2987, 3296, 5974, 11948, 23896, 47792

Step-4: Factors of 95600

List of positive integer factors of 95600 that divides 95584 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 239, 400, 478, 956, 1195, 1912, 2390, 3824, 4780, 5975, 9560, 11950, 19120, 23900, 47800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95584 and 95600. The biggest common factor number is the GCF number.
So the greatest common factor 95584 and 95600 is 16.

Also check out the Least Common Multiple of 95584 and 95600