What is the Greatest Common Factor of 34146 and 34161?

Greatest common factor (GCF) of 34146 and 34161 is 3.

GCF(34146,34161) = 3

We will now calculate the prime factors of 34146 and 34161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34146 and 34161.

How to find the GCF of 34146 and 34161?

We will first find the prime factorization of 34146 and 34161. After we will calculate the factors of 34146 and 34161 and find the biggest common factor number .

Step-1: Prime Factorization of 34146

Prime factors of 34146 are 2, 3, 7, 271. Prime factorization of 34146 in exponential form is:

34146 = 2¹ × 3² × 7¹ × 271¹

Step-2: Prime Factorization of 34161

Prime factors of 34161 are 3, 59, 193. Prime factorization of 34161 in exponential form is:

34161 = 3¹ × 59¹ × 193¹

Step-3: Factors of 34146

List of positive integer factors of 34146 that divides 34146 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 271, 542, 813, 1626, 1897, 2439, 3794, 4878, 5691, 11382, 17073

Step-4: Factors of 34161

List of positive integer factors of 34161 that divides 34146 without a remainder.

1, 3, 59, 177, 193, 579, 11387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34146 and 34161. The biggest common factor number is the GCF number.
So the greatest common factor 34146 and 34161 is 3.

Also check out the Least Common Multiple of 34146 and 34161