What is the Greatest Common Factor of 73458 and 73465?

Greatest common factor (GCF) of 73458 and 73465 is 7.

GCF(73458,73465) = 7

We will now calculate the prime factors of 73458 and 73465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73458 and 73465.

How to find the GCF of 73458 and 73465?

We will first find the prime factorization of 73458 and 73465. After we will calculate the factors of 73458 and 73465 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 73465

Prime factors of 73465 are 5, 7, 2099. Prime factorization of 73465 in exponential form is:

73465 = 5¹ × 7¹ × 2099¹

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 73465

List of positive integer factors of 73465 that divides 73458 without a remainder.

1, 5, 7, 35, 2099, 10495, 14693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73458 and 73465. The biggest common factor number is the GCF number.
So the greatest common factor 73458 and 73465 is 7.

Also check out the Least Common Multiple of 73458 and 73465