What is the Greatest Common Factor of 73065 and 73074?

Greatest common factor (GCF) of 73065 and 73074 is 3.

GCF(73065,73074) = 3

We will now calculate the prime factors of 73065 and 73074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73065 and 73074.

How to find the GCF of 73065 and 73074?

We will first find the prime factorization of 73065 and 73074. After we will calculate the factors of 73065 and 73074 and find the biggest common factor number .

Step-1: Prime Factorization of 73065

Prime factors of 73065 are 3, 5, 4871. Prime factorization of 73065 in exponential form is:

73065 = 3¹ × 5¹ × 4871¹

Step-2: 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-3: Factors of 73065

List of positive integer factors of 73065 that divides 73065 without a remainder.

1, 3, 5, 15, 4871, 14613, 24355

Step-4: Factors of 73074

List of positive integer factors of 73074 that divides 73065 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73065 and 73074. The biggest common factor number is the GCF number.
So the greatest common factor 73065 and 73074 is 3.

Also check out the Least Common Multiple of 73065 and 73074