What is the Greatest Common Factor of 80164 and 80171?

Greatest common factor (GCF) of 80164 and 80171 is 7.

GCF(80164,80171) = 7

We will now calculate the prime factors of 80164 and 80171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80164 and 80171.

How to find the GCF of 80164 and 80171?

We will first find the prime factorization of 80164 and 80171. After we will calculate the factors of 80164 and 80171 and find the biggest common factor number .

Step-1: Prime Factorization of 80164

Prime factors of 80164 are 2, 7, 409. Prime factorization of 80164 in exponential form is:

80164 = 2² × 7² × 409¹

Step-2: Prime Factorization of 80171

Prime factors of 80171 are 7, 13, 881. Prime factorization of 80171 in exponential form is:

80171 = 7¹ × 13¹ × 881¹

Step-3: Factors of 80164

List of positive integer factors of 80164 that divides 80164 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 409, 818, 1636, 2863, 5726, 11452, 20041, 40082

Step-4: Factors of 80171

List of positive integer factors of 80171 that divides 80164 without a remainder.

1, 7, 13, 91, 881, 6167, 11453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80164 and 80171. The biggest common factor number is the GCF number.
So the greatest common factor 80164 and 80171 is 7.

Also check out the Least Common Multiple of 80164 and 80171