What is the Greatest Common Factor of 34146 and 34153?

Greatest common factor (GCF) of 34146 and 34153 is 7.

GCF(34146,34153) = 7

We will now calculate the prime factors of 34146 and 34153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34146 and 34153.

How to find the GCF of 34146 and 34153?

We will first find the prime factorization of 34146 and 34153. After we will calculate the factors of 34146 and 34153 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 34153

Prime factors of 34153 are 7, 17, 41. Prime factorization of 34153 in exponential form is:

34153 = 7² × 17¹ × 41¹

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 34153

List of positive integer factors of 34153 that divides 34146 without a remainder.

1, 7, 17, 41, 49, 119, 287, 697, 833, 2009, 4879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34146 and 34153. The biggest common factor number is the GCF number.
So the greatest common factor 34146 and 34153 is 7.

Also check out the Least Common Multiple of 34146 and 34153