What is the Greatest Common Factor of 74065 and 74083?

Greatest common factor (GCF) of 74065 and 74083 is 1.

GCF(74065,74083) = 1

We will now calculate the prime factors of 74065 and 74083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74065 and 74083.

How to find the GCF of 74065 and 74083?

We will first find the prime factorization of 74065 and 74083. After we will calculate the factors of 74065 and 74083 and find the biggest common factor number .

Step-1: Prime Factorization of 74065

Prime factors of 74065 are 5, 14813. Prime factorization of 74065 in exponential form is:

74065 = 5¹ × 14813¹

Step-2: Prime Factorization of 74083

Prime factors of 74083 are 23, 3221. Prime factorization of 74083 in exponential form is:

74083 = 23¹ × 3221¹

Step-3: Factors of 74065

List of positive integer factors of 74065 that divides 74065 without a remainder.

1, 5, 14813

Step-4: Factors of 74083

List of positive integer factors of 74083 that divides 74065 without a remainder.

1, 23, 3221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74065 and 74083. The biggest common factor number is the GCF number.
So the greatest common factor 74065 and 74083 is 1.

Also check out the Least Common Multiple of 74065 and 74083