What is the Greatest Common Factor of 73269 and 73287?

Greatest common factor (GCF) of 73269 and 73287 is 9.

GCF(73269,73287) = 9

We will now calculate the prime factors of 73269 and 73287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73269 and 73287.

How to find the GCF of 73269 and 73287?

We will first find the prime factorization of 73269 and 73287. After we will calculate the factors of 73269 and 73287 and find the biggest common factor number .

Step-1: Prime Factorization of 73269

Prime factors of 73269 are 3, 7, 1163. Prime factorization of 73269 in exponential form is:

73269 = 3² × 7¹ × 1163¹

Step-2: Prime Factorization of 73287

Prime factors of 73287 are 3, 17, 479. Prime factorization of 73287 in exponential form is:

73287 = 3² × 17¹ × 479¹

Step-3: Factors of 73269

List of positive integer factors of 73269 that divides 73269 without a remainder.

1, 3, 7, 9, 21, 63, 1163, 3489, 8141, 10467, 24423

Step-4: Factors of 73287

List of positive integer factors of 73287 that divides 73269 without a remainder.

1, 3, 9, 17, 51, 153, 479, 1437, 4311, 8143, 24429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73269 and 73287. The biggest common factor number is the GCF number.
So the greatest common factor 73269 and 73287 is 9.

Also check out the Least Common Multiple of 73269 and 73287