What is the Greatest Common Factor of 73074 and 73089?

Greatest common factor (GCF) of 73074 and 73089 is 3.

GCF(73074,73089) = 3

We will now calculate the prime factors of 73074 and 73089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73074 and 73089.

How to find the GCF of 73074 and 73089?

We will first find the prime factorization of 73074 and 73089. After we will calculate the factors of 73074 and 73089 and find the biggest common factor number .

Step-1: Prime Factorization of 73074

Prime factors of 73074 are 2, 3, 19, 641. Prime factorization of 73074 in exponential form is:

73074 = 2¹ × 3¹ × 19¹ × 641¹

Step-2: Prime Factorization of 73089

Prime factors of 73089 are 3, 2707. Prime factorization of 73089 in exponential form is:

73089 = 3³ × 2707¹

Step-3: Factors of 73074

List of positive integer factors of 73074 that divides 73074 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 641, 1282, 1923, 3846, 12179, 24358, 36537

Step-4: Factors of 73089

List of positive integer factors of 73089 that divides 73074 without a remainder.

1, 3, 9, 27, 2707, 8121, 24363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73074 and 73089. The biggest common factor number is the GCF number.
So the greatest common factor 73074 and 73089 is 3.

Also check out the Least Common Multiple of 73074 and 73089