What is the Greatest Common Factor of 71157 and 71166?

Greatest common factor (GCF) of 71157 and 71166 is 3.

GCF(71157,71166) = 3

We will now calculate the prime factors of 71157 and 71166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71157 and 71166.

How to find the GCF of 71157 and 71166?

We will first find the prime factorization of 71157 and 71166. After we will calculate the factors of 71157 and 71166 and find the biggest common factor number .

Step-1: Prime Factorization of 71157

Prime factors of 71157 are 3, 23719. Prime factorization of 71157 in exponential form is:

71157 = 3¹ × 23719¹

Step-2: 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-3: Factors of 71157

List of positive integer factors of 71157 that divides 71157 without a remainder.

1, 3, 23719

Step-4: Factors of 71166

List of positive integer factors of 71166 that divides 71157 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71157 and 71166. The biggest common factor number is the GCF number.
So the greatest common factor 71157 and 71166 is 3.

Also check out the Least Common Multiple of 71157 and 71166