What is the Greatest Common Factor of 73474 and 73491?

Greatest common factor (GCF) of 73474 and 73491 is 17.

GCF(73474,73491) = 17

We will now calculate the prime factors of 73474 and 73491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73474 and 73491.

How to find the GCF of 73474 and 73491?

We will first find the prime factorization of 73474 and 73491. After we will calculate the factors of 73474 and 73491 and find the biggest common factor number .

Step-1: Prime Factorization of 73474

Prime factors of 73474 are 2, 17, 2161. Prime factorization of 73474 in exponential form is:

73474 = 2¹ × 17¹ × 2161¹

Step-2: Prime Factorization of 73491

Prime factors of 73491 are 3, 11, 17, 131. Prime factorization of 73491 in exponential form is:

73491 = 3¹ × 11¹ × 17¹ × 131¹

Step-3: Factors of 73474

List of positive integer factors of 73474 that divides 73474 without a remainder.

1, 2, 17, 34, 2161, 4322, 36737

Step-4: Factors of 73491

List of positive integer factors of 73491 that divides 73474 without a remainder.

1, 3, 11, 17, 33, 51, 131, 187, 393, 561, 1441, 2227, 4323, 6681, 24497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73474 and 73491. The biggest common factor number is the GCF number.
So the greatest common factor 73474 and 73491 is 17.

Also check out the Least Common Multiple of 73474 and 73491