What is the Greatest Common Factor of 34166 and 34177?

Greatest common factor (GCF) of 34166 and 34177 is 11.

GCF(34166,34177) = 11

We will now calculate the prime factors of 34166 and 34177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34166 and 34177.

How to find the GCF of 34166 and 34177?

We will first find the prime factorization of 34166 and 34177. After we will calculate the factors of 34166 and 34177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34177

Prime factors of 34177 are 11, 13, 239. Prime factorization of 34177 in exponential form is:

34177 = 11¹ × 13¹ × 239¹

Step-3: Factors of 34166

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

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

Step-4: Factors of 34177

List of positive integer factors of 34177 that divides 34166 without a remainder.

1, 11, 13, 143, 239, 2629, 3107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34166 and 34177. The biggest common factor number is the GCF number.
So the greatest common factor 34166 and 34177 is 11.

Also check out the Least Common Multiple of 34166 and 34177