What is the Greatest Common Factor of 40227 and 40238?

Greatest common factor (GCF) of 40227 and 40238 is 11.

GCF(40227,40238) = 11

We will now calculate the prime factors of 40227 and 40238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40227 and 40238.

How to find the GCF of 40227 and 40238?

We will first find the prime factorization of 40227 and 40238. After we will calculate the factors of 40227 and 40238 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 40238

Prime factors of 40238 are 2, 11, 31, 59. Prime factorization of 40238 in exponential form is:

40238 = 2¹ × 11¹ × 31¹ × 59¹

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 40238

List of positive integer factors of 40238 that divides 40227 without a remainder.

1, 2, 11, 22, 31, 59, 62, 118, 341, 649, 682, 1298, 1829, 3658, 20119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40227 and 40238. The biggest common factor number is the GCF number.
So the greatest common factor 40227 and 40238 is 11.

Also check out the Least Common Multiple of 40227 and 40238