What is the Greatest Common Factor of 73074 and 73093?

Greatest common factor (GCF) of 73074 and 73093 is 19.

GCF(73074,73093) = 19

We will now calculate the prime factors of 73074 and 73093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73074 and 73093.

How to find the GCF of 73074 and 73093?

We will first find the prime factorization of 73074 and 73093. After we will calculate the factors of 73074 and 73093 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 73093

Prime factors of 73093 are 19, 3847. Prime factorization of 73093 in exponential form is:

73093 = 19¹ × 3847¹

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 73093

List of positive integer factors of 73093 that divides 73074 without a remainder.

1, 19, 3847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73074 and 73093. The biggest common factor number is the GCF number.
So the greatest common factor 73074 and 73093 is 19.

Also check out the Least Common Multiple of 73074 and 73093