What is the Greatest Common Factor of 53226 and 53241?

Greatest common factor (GCF) of 53226 and 53241 is 3.

GCF(53226,53241) = 3

We will now calculate the prime factors of 53226 and 53241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53226 and 53241.

How to find the GCF of 53226 and 53241?

We will first find the prime factorization of 53226 and 53241. After we will calculate the factors of 53226 and 53241 and find the biggest common factor number .

Step-1: Prime Factorization of 53226

Prime factors of 53226 are 2, 3, 2957. Prime factorization of 53226 in exponential form is:

53226 = 2¹ × 3² × 2957¹

Step-2: Prime Factorization of 53241

Prime factors of 53241 are 3, 17747. Prime factorization of 53241 in exponential form is:

53241 = 3¹ × 17747¹

Step-3: Factors of 53226

List of positive integer factors of 53226 that divides 53226 without a remainder.

1, 2, 3, 6, 9, 18, 2957, 5914, 8871, 17742, 26613

Step-4: Factors of 53241

List of positive integer factors of 53241 that divides 53226 without a remainder.

1, 3, 17747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53226 and 53241. The biggest common factor number is the GCF number.
So the greatest common factor 53226 and 53241 is 3.

Also check out the Least Common Multiple of 53226 and 53241