What is the Greatest Common Factor of 67154 and 67161?

Greatest common factor (GCF) of 67154 and 67161 is 1.

GCF(67154,67161) = 1

We will now calculate the prime factors of 67154 and 67161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67154 and 67161.

How to find the GCF of 67154 and 67161?

We will first find the prime factorization of 67154 and 67161. After we will calculate the factors of 67154 and 67161 and find the biggest common factor number .

Step-1: Prime Factorization of 67154

Prime factors of 67154 are 2, 33577. Prime factorization of 67154 in exponential form is:

67154 = 2¹ × 33577¹

Step-2: Prime Factorization of 67161

Prime factors of 67161 are 3, 61, 367. Prime factorization of 67161 in exponential form is:

67161 = 3¹ × 61¹ × 367¹

Step-3: Factors of 67154

List of positive integer factors of 67154 that divides 67154 without a remainder.

1, 2, 33577

Step-4: Factors of 67161

List of positive integer factors of 67161 that divides 67154 without a remainder.

1, 3, 61, 183, 367, 1101, 22387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67154 and 67161. The biggest common factor number is the GCF number.
So the greatest common factor 67154 and 67161 is 1.

Also check out the Least Common Multiple of 67154 and 67161