What is the Greatest Common Factor of 34164 and 34175?

Greatest common factor (GCF) of 34164 and 34175 is 1.

GCF(34164,34175) = 1

We will now calculate the prime factors of 34164 and 34175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34164 and 34175.

How to find the GCF of 34164 and 34175?

We will first find the prime factorization of 34164 and 34175. After we will calculate the factors of 34164 and 34175 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 34175

Prime factors of 34175 are 5, 1367. Prime factorization of 34175 in exponential form is:

34175 = 5² × 1367¹

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 34175

List of positive integer factors of 34175 that divides 34164 without a remainder.

1, 5, 25, 1367, 6835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34164 and 34175. The biggest common factor number is the GCF number.
So the greatest common factor 34164 and 34175 is 1.

Also check out the Least Common Multiple of 34164 and 34175