What is the Greatest Common Factor of 59229 and 59241?

Greatest common factor (GCF) of 59229 and 59241 is 3.

GCF(59229,59241) = 3

We will now calculate the prime factors of 59229 and 59241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59229 and 59241.

How to find the GCF of 59229 and 59241?

We will first find the prime factorization of 59229 and 59241. After we will calculate the factors of 59229 and 59241 and find the biggest common factor number .

Step-1: Prime Factorization of 59229

Prime factors of 59229 are 3, 6581. Prime factorization of 59229 in exponential form is:

59229 = 3² × 6581¹

Step-2: Prime Factorization of 59241

Prime factors of 59241 are 3, 7, 13, 31. Prime factorization of 59241 in exponential form is:

59241 = 3¹ × 7² × 13¹ × 31¹

Step-3: Factors of 59229

List of positive integer factors of 59229 that divides 59229 without a remainder.

1, 3, 9, 6581, 19743

Step-4: Factors of 59241

List of positive integer factors of 59241 that divides 59229 without a remainder.

1, 3, 7, 13, 21, 31, 39, 49, 91, 93, 147, 217, 273, 403, 637, 651, 1209, 1519, 1911, 2821, 4557, 8463, 19747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59229 and 59241. The biggest common factor number is the GCF number.
So the greatest common factor 59229 and 59241 is 3.

Also check out the Least Common Multiple of 59229 and 59241