What is the Greatest Common Factor of 74153 and 74165?

Greatest common factor (GCF) of 74153 and 74165 is 1.

GCF(74153,74165) = 1

We will now calculate the prime factors of 74153 and 74165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74153 and 74165.

How to find the GCF of 74153 and 74165?

We will first find the prime factorization of 74153 and 74165. After we will calculate the factors of 74153 and 74165 and find the biggest common factor number .

Step-1: Prime Factorization of 74153

Prime factors of 74153 are 29, 2557. Prime factorization of 74153 in exponential form is:

74153 = 29¹ × 2557¹

Step-2: 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-3: Factors of 74153

List of positive integer factors of 74153 that divides 74153 without a remainder.

1, 29, 2557

Step-4: Factors of 74165

List of positive integer factors of 74165 that divides 74153 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74153 and 74165. The biggest common factor number is the GCF number.
So the greatest common factor 74153 and 74165 is 1.

Also check out the Least Common Multiple of 74153 and 74165