What is the Greatest Common Factor of 71166 and 71174?

Greatest common factor (GCF) of 71166 and 71174 is 2.

GCF(71166,71174) = 2

We will now calculate the prime factors of 71166 and 71174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71166 and 71174.

How to find the GCF of 71166 and 71174?

We will first find the prime factorization of 71166 and 71174. After we will calculate the factors of 71166 and 71174 and find the biggest common factor number .

Step-1: Prime Factorization of 71166

Prime factors of 71166 are 2, 3, 29, 409. Prime factorization of 71166 in exponential form is:

71166 = 2¹ × 3¹ × 29¹ × 409¹

Step-2: Prime Factorization of 71174

Prime factors of 71174 are 2, 19, 1873. Prime factorization of 71174 in exponential form is:

71174 = 2¹ × 19¹ × 1873¹

Step-3: Factors of 71166

List of positive integer factors of 71166 that divides 71166 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 409, 818, 1227, 2454, 11861, 23722, 35583

Step-4: Factors of 71174

List of positive integer factors of 71174 that divides 71166 without a remainder.

1, 2, 19, 38, 1873, 3746, 35587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71166 and 71174. The biggest common factor number is the GCF number.
So the greatest common factor 71166 and 71174 is 2.

Also check out the Least Common Multiple of 71166 and 71174