What is the Greatest Common Factor of 60273 and 60291?

Greatest common factor (GCF) of 60273 and 60291 is 9.

GCF(60273,60291) = 9

We will now calculate the prime factors of 60273 and 60291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60273 and 60291.

How to find the GCF of 60273 and 60291?

We will first find the prime factorization of 60273 and 60291. After we will calculate the factors of 60273 and 60291 and find the biggest common factor number .

Step-1: Prime Factorization of 60273

Prime factors of 60273 are 3, 37, 181. Prime factorization of 60273 in exponential form is:

60273 = 3² × 37¹ × 181¹

Step-2: Prime Factorization of 60291

Prime factors of 60291 are 3, 7, 11, 29. Prime factorization of 60291 in exponential form is:

60291 = 3³ × 7¹ × 11¹ × 29¹

Step-3: Factors of 60273

List of positive integer factors of 60273 that divides 60273 without a remainder.

1, 3, 9, 37, 111, 181, 333, 543, 1629, 6697, 20091

Step-4: Factors of 60291

List of positive integer factors of 60291 that divides 60273 without a remainder.

1, 3, 7, 9, 11, 21, 27, 29, 33, 63, 77, 87, 99, 189, 203, 231, 261, 297, 319, 609, 693, 783, 957, 1827, 2079, 2233, 2871, 5481, 6699, 8613, 20097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60273 and 60291. The biggest common factor number is the GCF number.
So the greatest common factor 60273 and 60291 is 9.

Also check out the Least Common Multiple of 60273 and 60291