What is the Greatest Common Factor of 95608 and 95627?

Greatest common factor (GCF) of 95608 and 95627 is 19.

GCF(95608,95627) = 19

We will now calculate the prime factors of 95608 and 95627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95608 and 95627.

How to find the GCF of 95608 and 95627?

We will first find the prime factorization of 95608 and 95627. After we will calculate the factors of 95608 and 95627 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 95627

Prime factors of 95627 are 7, 19, 719. Prime factorization of 95627 in exponential form is:

95627 = 7¹ × 19¹ × 719¹

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 95627

List of positive integer factors of 95627 that divides 95608 without a remainder.

1, 7, 19, 133, 719, 5033, 13661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95608 and 95627. The biggest common factor number is the GCF number.
So the greatest common factor 95608 and 95627 is 19.

Also check out the Least Common Multiple of 95608 and 95627