What is the Greatest Common Factor of 60229 and 60241?

Greatest common factor (GCF) of 60229 and 60241 is 1.

GCF(60229,60241) = 1

We will now calculate the prime factors of 60229 and 60241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60229 and 60241.

How to find the GCF of 60229 and 60241?

We will first find the prime factorization of 60229 and 60241. After we will calculate the factors of 60229 and 60241 and find the biggest common factor number .

Step-1: Prime Factorization of 60229

Prime factors of 60229 are 13, 41, 113. Prime factorization of 60229 in exponential form is:

60229 = 13¹ × 41¹ × 113¹

Step-2: Prime Factorization of 60241

Prime factors of 60241 are 107, 563. Prime factorization of 60241 in exponential form is:

60241 = 107¹ × 563¹

Step-3: Factors of 60229

List of positive integer factors of 60229 that divides 60229 without a remainder.

1, 13, 41, 113, 533, 1469, 4633

Step-4: Factors of 60241

List of positive integer factors of 60241 that divides 60229 without a remainder.

1, 107, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60229 and 60241. The biggest common factor number is the GCF number.
So the greatest common factor 60229 and 60241 is 1.

Also check out the Least Common Multiple of 60229 and 60241