What is the Greatest Common Factor of 73449 and 73458?

Greatest common factor (GCF) of 73449 and 73458 is 9.

GCF(73449,73458) = 9

We will now calculate the prime factors of 73449 and 73458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73449 and 73458.

How to find the GCF of 73449 and 73458?

We will first find the prime factorization of 73449 and 73458. After we will calculate the factors of 73449 and 73458 and find the biggest common factor number .

Step-1: Prime Factorization of 73449

Prime factors of 73449 are 3, 8161. Prime factorization of 73449 in exponential form is:

73449 = 3² × 8161¹

Step-2: Prime Factorization of 73458

Prime factors of 73458 are 2, 3, 7, 11, 53. Prime factorization of 73458 in exponential form is:

73458 = 2¹ × 3² × 7¹ × 11¹ × 53¹

Step-3: Factors of 73449

List of positive integer factors of 73449 that divides 73449 without a remainder.

1, 3, 9, 8161, 24483

Step-4: Factors of 73458

List of positive integer factors of 73458 that divides 73449 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 53, 63, 66, 77, 99, 106, 126, 154, 159, 198, 231, 318, 371, 462, 477, 583, 693, 742, 954, 1113, 1166, 1386, 1749, 2226, 3339, 3498, 4081, 5247, 6678, 8162, 10494, 12243, 24486, 36729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73449 and 73458. The biggest common factor number is the GCF number.
So the greatest common factor 73449 and 73458 is 9.

Also check out the Least Common Multiple of 73449 and 73458