What is the Greatest Common Factor of 41230 and 41244?

Greatest common factor (GCF) of 41230 and 41244 is 14.

GCF(41230,41244) = 14

We will now calculate the prime factors of 41230 and 41244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41230 and 41244.

How to find the GCF of 41230 and 41244?

We will first find the prime factorization of 41230 and 41244. After we will calculate the factors of 41230 and 41244 and find the biggest common factor number .

Step-1: Prime Factorization of 41230

Prime factors of 41230 are 2, 5, 7, 19, 31. Prime factorization of 41230 in exponential form is:

41230 = 2¹ × 5¹ × 7¹ × 19¹ × 31¹

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 41230

List of positive integer factors of 41230 that divides 41230 without a remainder.

1, 2, 5, 7, 10, 14, 19, 31, 35, 38, 62, 70, 95, 133, 155, 190, 217, 266, 310, 434, 589, 665, 1085, 1178, 1330, 2170, 2945, 4123, 5890, 8246, 20615

Step-4: Factors of 41244

List of positive integer factors of 41244 that divides 41230 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 41230 and 41244. The biggest common factor number is the GCF number.
So the greatest common factor 41230 and 41244 is 14.

Also check out the Least Common Multiple of 41230 and 41244