What is the Greatest Common Factor of 34152 and 34166?

Greatest common factor (GCF) of 34152 and 34166 is 2.

GCF(34152,34166) = 2

We will now calculate the prime factors of 34152 and 34166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34152 and 34166.

How to find the GCF of 34152 and 34166?

We will first find the prime factorization of 34152 and 34166. After we will calculate the factors of 34152 and 34166 and find the biggest common factor number .

Step-1: Prime Factorization of 34152

Prime factors of 34152 are 2, 3, 1423. Prime factorization of 34152 in exponential form is:

34152 = 2³ × 3¹ × 1423¹

Step-2: Prime Factorization of 34166

Prime factors of 34166 are 2, 11, 1553. Prime factorization of 34166 in exponential form is:

34166 = 2¹ × 11¹ × 1553¹

Step-3: Factors of 34152

List of positive integer factors of 34152 that divides 34152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076

Step-4: Factors of 34166

List of positive integer factors of 34166 that divides 34152 without a remainder.

1, 2, 11, 22, 1553, 3106, 17083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34152 and 34166. The biggest common factor number is the GCF number.
So the greatest common factor 34152 and 34166 is 2.

Also check out the Least Common Multiple of 34152 and 34166