What is the Greatest Common Factor of 71166 and 71177?

Greatest common factor (GCF) of 71166 and 71177 is 1.

GCF(71166,71177) = 1

We will now calculate the prime factors of 71166 and 71177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71166 and 71177.

How to find the GCF of 71166 and 71177?

We will first find the prime factorization of 71166 and 71177. After we will calculate the factors of 71166 and 71177 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 71177

Prime factors of 71177 are 109, 653. Prime factorization of 71177 in exponential form is:

71177 = 109¹ × 653¹

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 71177

List of positive integer factors of 71177 that divides 71166 without a remainder.

1, 109, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71166 and 71177. The biggest common factor number is the GCF number.
So the greatest common factor 71166 and 71177 is 1.

Also check out the Least Common Multiple of 71166 and 71177