What is the Greatest Common Factor of 41244 and 41252?

Greatest common factor (GCF) of 41244 and 41252 is 4.

GCF(41244,41252) = 4

We will now calculate the prime factors of 41244 and 41252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41244 and 41252.

How to find the GCF of 41244 and 41252?

We will first find the prime factorization of 41244 and 41252. After we will calculate the factors of 41244 and 41252 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41252

Prime factors of 41252 are 2, 10313. Prime factorization of 41252 in exponential form is:

41252 = 2² × 10313¹

Step-3: Factors of 41244

List of positive integer factors of 41244 that divides 41244 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

Step-4: Factors of 41252

List of positive integer factors of 41252 that divides 41244 without a remainder.

1, 2, 4, 10313, 20626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41244 and 41252. The biggest common factor number is the GCF number.
So the greatest common factor 41244 and 41252 is 4.

Also check out the Least Common Multiple of 41244 and 41252