What is the Greatest Common Factor of 41223 and 41236?

Greatest common factor (GCF) of 41223 and 41236 is 13.

GCF(41223,41236) = 13

We will now calculate the prime factors of 41223 and 41236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41223 and 41236.

How to find the GCF of 41223 and 41236?

We will first find the prime factorization of 41223 and 41236. After we will calculate the factors of 41223 and 41236 and find the biggest common factor number .

Step-1: Prime Factorization of 41223

Prime factors of 41223 are 3, 7, 13, 151. Prime factorization of 41223 in exponential form is:

41223 = 3¹ × 7¹ × 13¹ × 151¹

Step-2: 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-3: Factors of 41223

List of positive integer factors of 41223 that divides 41223 without a remainder.

1, 3, 7, 13, 21, 39, 91, 151, 273, 453, 1057, 1963, 3171, 5889, 13741

Step-4: Factors of 41236

List of positive integer factors of 41236 that divides 41223 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41223 and 41236. The biggest common factor number is the GCF number.
So the greatest common factor 41223 and 41236 is 13.

Also check out the Least Common Multiple of 41223 and 41236