What is the Greatest Common Factor of 46149 and 46164?

Greatest common factor (GCF) of 46149 and 46164 is 3.

GCF(46149,46164) = 3

We will now calculate the prime factors of 46149 and 46164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46149 and 46164.

How to find the GCF of 46149 and 46164?

We will first find the prime factorization of 46149 and 46164. After we will calculate the factors of 46149 and 46164 and find the biggest common factor number .

Step-1: Prime Factorization of 46149

Prime factors of 46149 are 3, 15383. Prime factorization of 46149 in exponential form is:

46149 = 3¹ × 15383¹

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 46149

List of positive integer factors of 46149 that divides 46149 without a remainder.

1, 3, 15383

Step-4: Factors of 46164

List of positive integer factors of 46164 that divides 46149 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 46149 and 46164. The biggest common factor number is the GCF number.
So the greatest common factor 46149 and 46164 is 3.

Also check out the Least Common Multiple of 46149 and 46164