What is the Greatest Common Factor of 60225 and 60243?

Greatest common factor (GCF) of 60225 and 60243 is 3.

GCF(60225,60243) = 3

We will now calculate the prime factors of 60225 and 60243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60225 and 60243.

How to find the GCF of 60225 and 60243?

We will first find the prime factorization of 60225 and 60243. After we will calculate the factors of 60225 and 60243 and find the biggest common factor number .

Step-1: Prime Factorization of 60225

Prime factors of 60225 are 3, 5, 11, 73. Prime factorization of 60225 in exponential form is:

60225 = 3¹ × 5² × 11¹ × 73¹

Step-2: Prime Factorization of 60243

Prime factors of 60243 are 3, 43, 467. Prime factorization of 60243 in exponential form is:

60243 = 3¹ × 43¹ × 467¹

Step-3: Factors of 60225

List of positive integer factors of 60225 that divides 60225 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 73, 75, 165, 219, 275, 365, 803, 825, 1095, 1825, 2409, 4015, 5475, 12045, 20075

Step-4: Factors of 60243

List of positive integer factors of 60243 that divides 60225 without a remainder.

1, 3, 43, 129, 467, 1401, 20081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60225 and 60243. The biggest common factor number is the GCF number.
So the greatest common factor 60225 and 60243 is 3.

Also check out the Least Common Multiple of 60225 and 60243