What is the Greatest Common Factor of 41229 and 41244?

Greatest common factor (GCF) of 41229 and 41244 is 3.

GCF(41229,41244) = 3

We will now calculate the prime factors of 41229 and 41244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41229 and 41244.

How to find the GCF of 41229 and 41244?

We will first find the prime factorization of 41229 and 41244. After we will calculate the factors of 41229 and 41244 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 41244

Prime factors of 41244 are 2, 3, 7, 491. Prime factorization of 41244 in exponential form is:

41244 = 2² × 3¹ × 7¹ × 491¹

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 41244

List of positive integer factors of 41244 that divides 41229 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 491, 982, 1473, 1964, 2946, 3437, 5892, 6874, 10311, 13748, 20622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41229 and 41244. The biggest common factor number is the GCF number.
So the greatest common factor 41229 and 41244 is 3.

Also check out the Least Common Multiple of 41229 and 41244