What is the Greatest Common Factor of 74165 and 74183?

Greatest common factor (GCF) of 74165 and 74183 is 1.

GCF(74165,74183) = 1

We will now calculate the prime factors of 74165 and 74183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74165 and 74183.

How to find the GCF of 74165 and 74183?

We will first find the prime factorization of 74165 and 74183. After we will calculate the factors of 74165 and 74183 and find the biggest common factor number .

Step-1: Prime Factorization of 74165

Prime factors of 74165 are 5, 7, 13, 163. Prime factorization of 74165 in exponential form is:

74165 = 5¹ × 7¹ × 13¹ × 163¹

Step-2: Prime Factorization of 74183

Prime factors of 74183 are 31, 2393. Prime factorization of 74183 in exponential form is:

74183 = 31¹ × 2393¹

Step-3: Factors of 74165

List of positive integer factors of 74165 that divides 74165 without a remainder.

1, 5, 7, 13, 35, 65, 91, 163, 455, 815, 1141, 2119, 5705, 10595, 14833

Step-4: Factors of 74183

List of positive integer factors of 74183 that divides 74165 without a remainder.

1, 31, 2393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74165 and 74183. The biggest common factor number is the GCF number.
So the greatest common factor 74165 and 74183 is 1.

Also check out the Least Common Multiple of 74165 and 74183