What is the Greatest Common Factor of 95608 and 95612?

Greatest common factor (GCF) of 95608 and 95612 is 4.

GCF(95608,95612) = 4

We will now calculate the prime factors of 95608 and 95612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95608 and 95612.

How to find the GCF of 95608 and 95612?

We will first find the prime factorization of 95608 and 95612. After we will calculate the factors of 95608 and 95612 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95612

Prime factors of 95612 are 2, 11, 41, 53. Prime factorization of 95612 in exponential form is:

95612 = 2² × 11¹ × 41¹ × 53¹

Step-3: Factors of 95608

List of positive integer factors of 95608 that divides 95608 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

Step-4: Factors of 95612

List of positive integer factors of 95612 that divides 95608 without a remainder.

1, 2, 4, 11, 22, 41, 44, 53, 82, 106, 164, 212, 451, 583, 902, 1166, 1804, 2173, 2332, 4346, 8692, 23903, 47806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95608 and 95612. The biggest common factor number is the GCF number.
So the greatest common factor 95608 and 95612 is 4.

Also check out the Least Common Multiple of 95608 and 95612