What is the Greatest Common Factor of 99164 and 99171?

Greatest common factor (GCF) of 99164 and 99171 is 1.

GCF(99164,99171) = 1

We will now calculate the prime factors of 99164 and 99171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99164 and 99171.

How to find the GCF of 99164 and 99171?

We will first find the prime factorization of 99164 and 99171. After we will calculate the factors of 99164 and 99171 and find the biggest common factor number .

Step-1: Prime Factorization of 99164

Prime factors of 99164 are 2, 13, 1907. Prime factorization of 99164 in exponential form is:

99164 = 2² × 13¹ × 1907¹

Step-2: Prime Factorization of 99171

Prime factors of 99171 are 3, 3673. Prime factorization of 99171 in exponential form is:

99171 = 3³ × 3673¹

Step-3: Factors of 99164

List of positive integer factors of 99164 that divides 99164 without a remainder.

1, 2, 4, 13, 26, 52, 1907, 3814, 7628, 24791, 49582

Step-4: Factors of 99171

List of positive integer factors of 99171 that divides 99164 without a remainder.

1, 3, 9, 27, 3673, 11019, 33057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99164 and 99171. The biggest common factor number is the GCF number.
So the greatest common factor 99164 and 99171 is 1.

Also check out the Least Common Multiple of 99164 and 99171