What is the Greatest Common Factor of 56168 and 56185?

Greatest common factor (GCF) of 56168 and 56185 is 17.

GCF(56168,56185) = 17

We will now calculate the prime factors of 56168 and 56185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56168 and 56185.

How to find the GCF of 56168 and 56185?

We will first find the prime factorization of 56168 and 56185. After we will calculate the factors of 56168 and 56185 and find the biggest common factor number .

Step-1: Prime Factorization of 56168

Prime factors of 56168 are 2, 7, 17, 59. Prime factorization of 56168 in exponential form is:

56168 = 2³ × 7¹ × 17¹ × 59¹

Step-2: Prime Factorization of 56185

Prime factors of 56185 are 5, 17, 661. Prime factorization of 56185 in exponential form is:

56185 = 5¹ × 17¹ × 661¹

Step-3: Factors of 56168

List of positive integer factors of 56168 that divides 56168 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 59, 68, 118, 119, 136, 236, 238, 413, 472, 476, 826, 952, 1003, 1652, 2006, 3304, 4012, 7021, 8024, 14042, 28084

Step-4: Factors of 56185

List of positive integer factors of 56185 that divides 56168 without a remainder.

1, 5, 17, 85, 661, 3305, 11237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56168 and 56185. The biggest common factor number is the GCF number.
So the greatest common factor 56168 and 56185 is 17.

Also check out the Least Common Multiple of 56168 and 56185