What is the Greatest Common Factor of 8164 and 8171?

Greatest common factor (GCF) of 8164 and 8171 is 1.

GCF(8164,8171) = 1

We will now calculate the prime factors of 8164 and 8171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8164 and 8171.

How to find the GCF of 8164 and 8171?

We will first find the prime factorization of 8164 and 8171. After we will calculate the factors of 8164 and 8171 and find the biggest common factor number .

Step-1: Prime Factorization of 8164

Prime factors of 8164 are 2, 13, 157. Prime factorization of 8164 in exponential form is:

8164 = 2² × 13¹ × 157¹

Step-2: Prime Factorization of 8171

Prime factors of 8171 are 8171. Prime factorization of 8171 in exponential form is:

8171 = 8171¹

Step-3: Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082

Step-4: Factors of 8171

List of positive integer factors of 8171 that divides 8164 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8164 and 8171. The biggest common factor number is the GCF number.
So the greatest common factor 8164 and 8171 is 1.

Also check out the Least Common Multiple of 8164 and 8171