What is the Greatest Common Factor of 64146 and 64161?

Greatest common factor (GCF) of 64146 and 64161 is 3.

GCF(64146,64161) = 3

We will now calculate the prime factors of 64146 and 64161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64146 and 64161.

How to find the GCF of 64146 and 64161?

We will first find the prime factorization of 64146 and 64161. After we will calculate the factors of 64146 and 64161 and find the biggest common factor number .

Step-1: Prime Factorization of 64146

Prime factors of 64146 are 2, 3, 10691. Prime factorization of 64146 in exponential form is:

64146 = 2¹ × 3¹ × 10691¹

Step-2: Prime Factorization of 64161

Prime factors of 64161 are 3, 7129. Prime factorization of 64161 in exponential form is:

64161 = 3² × 7129¹

Step-3: Factors of 64146

List of positive integer factors of 64146 that divides 64146 without a remainder.

1, 2, 3, 6, 10691, 21382, 32073

Step-4: Factors of 64161

List of positive integer factors of 64161 that divides 64146 without a remainder.

1, 3, 9, 7129, 21387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64146 and 64161. The biggest common factor number is the GCF number.
So the greatest common factor 64146 and 64161 is 3.

Also check out the Least Common Multiple of 64146 and 64161