What is the Greatest Common Factor of 56168 and 56182?

Greatest common factor (GCF) of 56168 and 56182 is 14.

GCF(56168,56182) = 14

We will now calculate the prime factors of 56168 and 56182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56168 and 56182.

How to find the GCF of 56168 and 56182?

We will first find the prime factorization of 56168 and 56182. After we will calculate the factors of 56168 and 56182 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 56182

Prime factors of 56182 are 2, 7, 4013. Prime factorization of 56182 in exponential form is:

56182 = 2¹ × 7¹ × 4013¹

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 56182

List of positive integer factors of 56182 that divides 56168 without a remainder.

1, 2, 7, 14, 4013, 8026, 28091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56168 and 56182. The biggest common factor number is the GCF number.
So the greatest common factor 56168 and 56182 is 14.

Also check out the Least Common Multiple of 56168 and 56182