What is the Greatest Common Factor of 73467 and 73482?

Greatest common factor (GCF) of 73467 and 73482 is 3.

GCF(73467,73482) = 3

We will now calculate the prime factors of 73467 and 73482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73467 and 73482.

How to find the GCF of 73467 and 73482?

We will first find the prime factorization of 73467 and 73482. After we will calculate the factors of 73467 and 73482 and find the biggest common factor number .

Step-1: Prime Factorization of 73467

Prime factors of 73467 are 3, 907. Prime factorization of 73467 in exponential form is:

73467 = 3⁴ × 907¹

Step-2: Prime Factorization of 73482

Prime factors of 73482 are 2, 3, 37, 331. Prime factorization of 73482 in exponential form is:

73482 = 2¹ × 3¹ × 37¹ × 331¹

Step-3: Factors of 73467

List of positive integer factors of 73467 that divides 73467 without a remainder.

1, 3, 9, 27, 81, 907, 2721, 8163, 24489

Step-4: Factors of 73482

List of positive integer factors of 73482 that divides 73467 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 331, 662, 993, 1986, 12247, 24494, 36741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73467 and 73482. The biggest common factor number is the GCF number.
So the greatest common factor 73467 and 73482 is 3.

Also check out the Least Common Multiple of 73467 and 73482