What is the Greatest Common Factor of 41241 and 41253?

Greatest common factor (GCF) of 41241 and 41253 is 3.

GCF(41241,41253) = 3

We will now calculate the prime factors of 41241 and 41253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41241 and 41253.

How to find the GCF of 41241 and 41253?

We will first find the prime factorization of 41241 and 41253. After we will calculate the factors of 41241 and 41253 and find the biggest common factor number .

Step-1: Prime Factorization of 41241

Prime factors of 41241 are 3, 59, 233. Prime factorization of 41241 in exponential form is:

41241 = 3¹ × 59¹ × 233¹

Step-2: Prime Factorization of 41253

Prime factors of 41253 are 3, 13751. Prime factorization of 41253 in exponential form is:

41253 = 3¹ × 13751¹

Step-3: Factors of 41241

List of positive integer factors of 41241 that divides 41241 without a remainder.

1, 3, 59, 177, 233, 699, 13747

Step-4: Factors of 41253

List of positive integer factors of 41253 that divides 41241 without a remainder.

1, 3, 13751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41241 and 41253. The biggest common factor number is the GCF number.
So the greatest common factor 41241 and 41253 is 3.

Also check out the Least Common Multiple of 41241 and 41253