What is the Greatest Common Factor of 46227 and 46236?

Greatest common factor (GCF) of 46227 and 46236 is 3.

GCF(46227,46236) = 3

We will now calculate the prime factors of 46227 and 46236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46227 and 46236.

How to find the GCF of 46227 and 46236?

We will first find the prime factorization of 46227 and 46236. After we will calculate the factors of 46227 and 46236 and find the biggest common factor number .

Step-1: Prime Factorization of 46227

Prime factors of 46227 are 3, 19, 811. Prime factorization of 46227 in exponential form is:

46227 = 3¹ × 19¹ × 811¹

Step-2: Prime Factorization of 46236

Prime factors of 46236 are 2, 3, 3853. Prime factorization of 46236 in exponential form is:

46236 = 2² × 3¹ × 3853¹

Step-3: Factors of 46227

List of positive integer factors of 46227 that divides 46227 without a remainder.

1, 3, 19, 57, 811, 2433, 15409

Step-4: Factors of 46236

List of positive integer factors of 46236 that divides 46227 without a remainder.

1, 2, 3, 4, 6, 12, 3853, 7706, 11559, 15412, 23118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46227 and 46236. The biggest common factor number is the GCF number.
So the greatest common factor 46227 and 46236 is 3.

Also check out the Least Common Multiple of 46227 and 46236