What is the Greatest Common Factor of 46155 and 46167?

Greatest common factor (GCF) of 46155 and 46167 is 3.

GCF(46155,46167) = 3

We will now calculate the prime factors of 46155 and 46167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46155 and 46167.

How to find the GCF of 46155 and 46167?

We will first find the prime factorization of 46155 and 46167. After we will calculate the factors of 46155 and 46167 and find the biggest common factor number .

Step-1: Prime Factorization of 46155

Prime factors of 46155 are 3, 5, 17, 181. Prime factorization of 46155 in exponential form is:

46155 = 3¹ × 5¹ × 17¹ × 181¹

Step-2: Prime Factorization of 46167

Prime factors of 46167 are 3, 11, 1399. Prime factorization of 46167 in exponential form is:

46167 = 3¹ × 11¹ × 1399¹

Step-3: Factors of 46155

List of positive integer factors of 46155 that divides 46155 without a remainder.

1, 3, 5, 15, 17, 51, 85, 181, 255, 543, 905, 2715, 3077, 9231, 15385

Step-4: Factors of 46167

List of positive integer factors of 46167 that divides 46155 without a remainder.

1, 3, 11, 33, 1399, 4197, 15389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46155 and 46167. The biggest common factor number is the GCF number.
So the greatest common factor 46155 and 46167 is 3.

Also check out the Least Common Multiple of 46155 and 46167