What is the Greatest Common Factor of 46164 and 46174?

Greatest common factor (GCF) of 46164 and 46174 is 2.

GCF(46164,46174) = 2

We will now calculate the prime factors of 46164 and 46174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46164 and 46174.

How to find the GCF of 46164 and 46174?

We will first find the prime factorization of 46164 and 46174. After we will calculate the factors of 46164 and 46174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46174

Prime factors of 46174 are 2, 23087. Prime factorization of 46174 in exponential form is:

46174 = 2¹ × 23087¹

Step-3: Factors of 46164

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

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

Step-4: Factors of 46174

List of positive integer factors of 46174 that divides 46164 without a remainder.

1, 2, 23087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46164 and 46174. The biggest common factor number is the GCF number.
So the greatest common factor 46164 and 46174 is 2.

Also check out the Least Common Multiple of 46164 and 46174