What is the Greatest Common Factor of 46164 and 46184?

Greatest common factor (GCF) of 46164 and 46184 is 4.

GCF(46164,46184) = 4

We will now calculate the prime factors of 46164 and 46184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46164 and 46184.

How to find the GCF of 46164 and 46184?

We will first find the prime factorization of 46164 and 46184. After we will calculate the factors of 46164 and 46184 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 46184

Prime factors of 46184 are 2, 23, 251. Prime factorization of 46184 in exponential form is:

46184 = 2³ × 23¹ × 251¹

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 46184

List of positive integer factors of 46184 that divides 46164 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 251, 502, 1004, 2008, 5773, 11546, 23092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46164 and 46184. The biggest common factor number is the GCF number.
So the greatest common factor 46164 and 46184 is 4.

Also check out the Least Common Multiple of 46164 and 46184