What is the Greatest Common Factor of 46155 and 46164?

Greatest common factor (GCF) of 46155 and 46164 is 3.

GCF(46155,46164) = 3

We will now calculate the prime factors of 46155 and 46164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46155 and 46164.

How to find the GCF of 46155 and 46164?

We will first find the prime factorization of 46155 and 46164. After we will calculate the factors of 46155 and 46164 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 46164

Prime factors of 46164 are 2, 3, 3847. Prime factorization of 46164 in exponential form is:

46164 = 2² × 3¹ × 3847¹

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 46164

List of positive integer factors of 46164 that divides 46155 without a remainder.

1, 2, 3, 4, 6, 12, 3847, 7694, 11541, 15388, 23082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46155 and 46164. The biggest common factor number is the GCF number.
So the greatest common factor 46155 and 46164 is 3.

Also check out the Least Common Multiple of 46155 and 46164