What is the Greatest Common Factor of 60243 and 60249?

Greatest common factor (GCF) of 60243 and 60249 is 3.

GCF(60243,60249) = 3

We will now calculate the prime factors of 60243 and 60249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60243 and 60249.

How to find the GCF of 60243 and 60249?

We will first find the prime factorization of 60243 and 60249. After we will calculate the factors of 60243 and 60249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60249

Prime factors of 60249 are 3, 7, 19, 151. Prime factorization of 60249 in exponential form is:

60249 = 3¹ × 7¹ × 19¹ × 151¹

Step-3: Factors of 60243

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

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

Step-4: Factors of 60249

List of positive integer factors of 60249 that divides 60243 without a remainder.

1, 3, 7, 19, 21, 57, 133, 151, 399, 453, 1057, 2869, 3171, 8607, 20083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60243 and 60249. The biggest common factor number is the GCF number.
So the greatest common factor 60243 and 60249 is 3.

Also check out the Least Common Multiple of 60243 and 60249