What is the Greatest Common Factor of 34164 and 34172?

Greatest common factor (GCF) of 34164 and 34172 is 4.

GCF(34164,34172) = 4

We will now calculate the prime factors of 34164 and 34172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34164 and 34172.

How to find the GCF of 34164 and 34172?

We will first find the prime factorization of 34164 and 34172. After we will calculate the factors of 34164 and 34172 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 34172

Prime factors of 34172 are 2, 8543. Prime factorization of 34172 in exponential form is:

34172 = 2² × 8543¹

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 34172

List of positive integer factors of 34172 that divides 34164 without a remainder.

1, 2, 4, 8543, 17086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34164 and 34172. The biggest common factor number is the GCF number.
So the greatest common factor 34164 and 34172 is 4.

Also check out the Least Common Multiple of 34164 and 34172