What is the Greatest Common Factor of 95600 and 95604?

Greatest common factor (GCF) of 95600 and 95604 is 4.

GCF(95600,95604) = 4

We will now calculate the prime factors of 95600 and 95604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95600 and 95604.

How to find the GCF of 95600 and 95604?

We will first find the prime factorization of 95600 and 95604. After we will calculate the factors of 95600 and 95604 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95604

Prime factors of 95604 are 2, 3, 31, 257. Prime factorization of 95604 in exponential form is:

95604 = 2² × 3¹ × 31¹ × 257¹

Step-3: Factors of 95600

List of positive integer factors of 95600 that divides 95600 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

Step-4: Factors of 95604

List of positive integer factors of 95604 that divides 95600 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 257, 372, 514, 771, 1028, 1542, 3084, 7967, 15934, 23901, 31868, 47802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95600 and 95604. The biggest common factor number is the GCF number.
So the greatest common factor 95600 and 95604 is 4.

Also check out the Least Common Multiple of 95600 and 95604