What is the Greatest Common Factor of 40227 and 40233?

Greatest common factor (GCF) of 40227 and 40233 is 3.

GCF(40227,40233) = 3

We will now calculate the prime factors of 40227 and 40233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40227 and 40233.

How to find the GCF of 40227 and 40233?

We will first find the prime factorization of 40227 and 40233. After we will calculate the factors of 40227 and 40233 and find the biggest common factor number .

Step-1: Prime Factorization of 40227

Prime factors of 40227 are 3, 11, 23, 53. Prime factorization of 40227 in exponential form is:

40227 = 3¹ × 11¹ × 23¹ × 53¹

Step-2: Prime Factorization of 40233

Prime factors of 40233 are 3, 13411. Prime factorization of 40233 in exponential form is:

40233 = 3¹ × 13411¹

Step-3: Factors of 40227

List of positive integer factors of 40227 that divides 40227 without a remainder.

1, 3, 11, 23, 33, 53, 69, 159, 253, 583, 759, 1219, 1749, 3657, 13409

Step-4: Factors of 40233

List of positive integer factors of 40233 that divides 40227 without a remainder.

1, 3, 13411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40227 and 40233. The biggest common factor number is the GCF number.
So the greatest common factor 40227 and 40233 is 3.

Also check out the Least Common Multiple of 40227 and 40233