What is the Greatest Common Factor of 73458 and 73470?

Greatest common factor (GCF) of 73458 and 73470 is 6.

GCF(73458,73470) = 6

We will now calculate the prime factors of 73458 and 73470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73458 and 73470.

How to find the GCF of 73458 and 73470?

We will first find the prime factorization of 73458 and 73470. After we will calculate the factors of 73458 and 73470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73470

Prime factors of 73470 are 2, 3, 5, 31, 79. Prime factorization of 73470 in exponential form is:

73470 = 2¹ × 3¹ × 5¹ × 31¹ × 79¹

Step-3: Factors of 73458

List of positive integer factors of 73458 that divides 73458 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

Step-4: Factors of 73470

List of positive integer factors of 73470 that divides 73458 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 79, 93, 155, 158, 186, 237, 310, 395, 465, 474, 790, 930, 1185, 2370, 2449, 4898, 7347, 12245, 14694, 24490, 36735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73458 and 73470. The biggest common factor number is the GCF number.
So the greatest common factor 73458 and 73470 is 6.

Also check out the Least Common Multiple of 73458 and 73470