What is the Greatest Common Factor of 41229 and 41238?

Greatest common factor (GCF) of 41229 and 41238 is 9.

GCF(41229,41238) = 9

We will now calculate the prime factors of 41229 and 41238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41229 and 41238.

How to find the GCF of 41229 and 41238?

We will first find the prime factorization of 41229 and 41238. After we will calculate the factors of 41229 and 41238 and find the biggest common factor number .

Step-1: Prime Factorization of 41229

Prime factors of 41229 are 3, 509. Prime factorization of 41229 in exponential form is:

41229 = 3⁴ × 509¹

Step-2: Prime Factorization of 41238

Prime factors of 41238 are 2, 3, 29, 79. Prime factorization of 41238 in exponential form is:

41238 = 2¹ × 3² × 29¹ × 79¹

Step-3: Factors of 41229

List of positive integer factors of 41229 that divides 41229 without a remainder.

1, 3, 9, 27, 81, 509, 1527, 4581, 13743

Step-4: Factors of 41238

List of positive integer factors of 41238 that divides 41229 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 79, 87, 158, 174, 237, 261, 474, 522, 711, 1422, 2291, 4582, 6873, 13746, 20619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41229 and 41238. The biggest common factor number is the GCF number.
So the greatest common factor 41229 and 41238 is 9.

Also check out the Least Common Multiple of 41229 and 41238