What is the Greatest Common Factor of 41236 and 41249?

Greatest common factor (GCF) of 41236 and 41249 is 13.

GCF(41236,41249) = 13

We will now calculate the prime factors of 41236 and 41249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41236 and 41249.

How to find the GCF of 41236 and 41249?

We will first find the prime factorization of 41236 and 41249. After we will calculate the factors of 41236 and 41249 and find the biggest common factor number .

Step-1: Prime Factorization of 41236

Prime factors of 41236 are 2, 13, 61. Prime factorization of 41236 in exponential form is:

41236 = 2² × 13² × 61¹

Step-2: Prime Factorization of 41249

Prime factors of 41249 are 13, 19, 167. Prime factorization of 41249 in exponential form is:

41249 = 13¹ × 19¹ × 167¹

Step-3: Factors of 41236

List of positive integer factors of 41236 that divides 41236 without a remainder.

1, 2, 4, 13, 26, 52, 61, 122, 169, 244, 338, 676, 793, 1586, 3172, 10309, 20618

Step-4: Factors of 41249

List of positive integer factors of 41249 that divides 41236 without a remainder.

1, 13, 19, 167, 247, 2171, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41236 and 41249. The biggest common factor number is the GCF number.
So the greatest common factor 41236 and 41249 is 13.

Also check out the Least Common Multiple of 41236 and 41249