What is the Greatest Common Factor of 71162 and 71178?

Greatest common factor (GCF) of 71162 and 71178 is 2.

GCF(71162,71178) = 2

We will now calculate the prime factors of 71162 and 71178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71162 and 71178.

How to find the GCF of 71162 and 71178?

We will first find the prime factorization of 71162 and 71178. After we will calculate the factors of 71162 and 71178 and find the biggest common factor number .

Step-1: Prime Factorization of 71162

Prime factors of 71162 are 2, 7, 13, 17, 23. Prime factorization of 71162 in exponential form is:

71162 = 2¹ × 7¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 71178

Prime factors of 71178 are 2, 3, 11863. Prime factorization of 71178 in exponential form is:

71178 = 2¹ × 3¹ × 11863¹

Step-3: Factors of 71162

List of positive integer factors of 71162 that divides 71162 without a remainder.

1, 2, 7, 13, 14, 17, 23, 26, 34, 46, 91, 119, 161, 182, 221, 238, 299, 322, 391, 442, 598, 782, 1547, 2093, 2737, 3094, 4186, 5083, 5474, 10166, 35581

Step-4: Factors of 71178

List of positive integer factors of 71178 that divides 71162 without a remainder.

1, 2, 3, 6, 11863, 23726, 35589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71162 and 71178. The biggest common factor number is the GCF number.
So the greatest common factor 71162 and 71178 is 2.

Also check out the Least Common Multiple of 71162 and 71178