What is the Greatest Common Factor of 40209 and 40227?

Greatest common factor (GCF) of 40209 and 40227 is 3.

GCF(40209,40227) = 3

We will now calculate the prime factors of 40209 and 40227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40209 and 40227.

How to find the GCF of 40209 and 40227?

We will first find the prime factorization of 40209 and 40227. After we will calculate the factors of 40209 and 40227 and find the biggest common factor number .

Step-1: Prime Factorization of 40209

Prime factors of 40209 are 3, 13, 1031. Prime factorization of 40209 in exponential form is:

40209 = 3¹ × 13¹ × 1031¹

Step-2: 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-3: Factors of 40209

List of positive integer factors of 40209 that divides 40209 without a remainder.

1, 3, 13, 39, 1031, 3093, 13403

Step-4: Factors of 40227

List of positive integer factors of 40227 that divides 40209 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40209 and 40227. The biggest common factor number is the GCF number.
So the greatest common factor 40209 and 40227 is 3.

Also check out the Least Common Multiple of 40209 and 40227