What is the Greatest Common Factor of 34164 and 34171?

Greatest common factor (GCF) of 34164 and 34171 is 1.

GCF(34164,34171) = 1

We will now calculate the prime factors of 34164 and 34171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34164 and 34171.

How to find the GCF of 34164 and 34171?

We will first find the prime factorization of 34164 and 34171. After we will calculate the factors of 34164 and 34171 and find the biggest common factor number .

Step-1: Prime Factorization of 34164

Prime factors of 34164 are 2, 3, 13, 73. Prime factorization of 34164 in exponential form is:

34164 = 2² × 3² × 13¹ × 73¹

Step-2: Prime Factorization of 34171

Prime factors of 34171 are 34171. Prime factorization of 34171 in exponential form is:

34171 = 34171¹

Step-3: Factors of 34164

List of positive integer factors of 34164 that divides 34164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082

Step-4: Factors of 34171

List of positive integer factors of 34171 that divides 34164 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34164 and 34171. The biggest common factor number is the GCF number.
So the greatest common factor 34164 and 34171 is 1.

Also check out the Least Common Multiple of 34164 and 34171