What is the Greatest Common Factor of 41237 and 41244?

Greatest common factor (GCF) of 41237 and 41244 is 7.

GCF(41237,41244) = 7

We will now calculate the prime factors of 41237 and 41244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41237 and 41244.

How to find the GCF of 41237 and 41244?

We will first find the prime factorization of 41237 and 41244. After we will calculate the factors of 41237 and 41244 and find the biggest common factor number .

Step-1: Prime Factorization of 41237

Prime factors of 41237 are 7, 43, 137. Prime factorization of 41237 in exponential form is:

41237 = 7¹ × 43¹ × 137¹

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 41237

List of positive integer factors of 41237 that divides 41237 without a remainder.

1, 7, 43, 137, 301, 959, 5891

Step-4: Factors of 41244

List of positive integer factors of 41244 that divides 41237 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 41237 and 41244. The biggest common factor number is the GCF number.
So the greatest common factor 41237 and 41244 is 7.

Also check out the Least Common Multiple of 41237 and 41244