What is the Greatest Common Factor of 95600 and 95608?

Greatest common factor (GCF) of 95600 and 95608 is 8.

GCF(95600,95608) = 8

We will now calculate the prime factors of 95600 and 95608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95600 and 95608.

How to find the GCF of 95600 and 95608?

We will first find the prime factorization of 95600 and 95608. After we will calculate the factors of 95600 and 95608 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 95608

Prime factors of 95608 are 2, 17, 19, 37. Prime factorization of 95608 in exponential form is:

95608 = 2³ × 17¹ × 19¹ × 37¹

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 95608

List of positive integer factors of 95608 that divides 95600 without a remainder.

1, 2, 4, 8, 17, 19, 34, 37, 38, 68, 74, 76, 136, 148, 152, 296, 323, 629, 646, 703, 1258, 1292, 1406, 2516, 2584, 2812, 5032, 5624, 11951, 23902, 47804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95600 and 95608. The biggest common factor number is the GCF number.
So the greatest common factor 95600 and 95608 is 8.

Also check out the Least Common Multiple of 95600 and 95608