What is the Greatest Common Factor of 58227 and 58236?

Greatest common factor (GCF) of 58227 and 58236 is 3.

GCF(58227,58236) = 3

We will now calculate the prime factors of 58227 and 58236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58227 and 58236.

How to find the GCF of 58227 and 58236?

We will first find the prime factorization of 58227 and 58236. After we will calculate the factors of 58227 and 58236 and find the biggest common factor number .

Step-1: Prime Factorization of 58227

Prime factors of 58227 are 3, 13, 1493. Prime factorization of 58227 in exponential form is:

58227 = 3¹ × 13¹ × 1493¹

Step-2: Prime Factorization of 58236

Prime factors of 58236 are 2, 3, 23, 211. Prime factorization of 58236 in exponential form is:

58236 = 2² × 3¹ × 23¹ × 211¹

Step-3: Factors of 58227

List of positive integer factors of 58227 that divides 58227 without a remainder.

1, 3, 13, 39, 1493, 4479, 19409

Step-4: Factors of 58236

List of positive integer factors of 58236 that divides 58227 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 211, 276, 422, 633, 844, 1266, 2532, 4853, 9706, 14559, 19412, 29118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58227 and 58236. The biggest common factor number is the GCF number.
So the greatest common factor 58227 and 58236 is 3.

Also check out the Least Common Multiple of 58227 and 58236