What is the Greatest Common Factor of 74365 and 74369?

Greatest common factor (GCF) of 74365 and 74369 is 1.

GCF(74365,74369) = 1

We will now calculate the prime factors of 74365 and 74369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74365 and 74369.

How to find the GCF of 74365 and 74369?

We will first find the prime factorization of 74365 and 74369. After we will calculate the factors of 74365 and 74369 and find the biggest common factor number .

Step-1: Prime Factorization of 74365

Prime factors of 74365 are 5, 107, 139. Prime factorization of 74365 in exponential form is:

74365 = 5¹ × 107¹ × 139¹

Step-2: Prime Factorization of 74369

Prime factors of 74369 are 31, 2399. Prime factorization of 74369 in exponential form is:

74369 = 31¹ × 2399¹

Step-3: Factors of 74365

List of positive integer factors of 74365 that divides 74365 without a remainder.

1, 5, 107, 139, 535, 695, 14873

Step-4: Factors of 74369

List of positive integer factors of 74369 that divides 74365 without a remainder.

1, 31, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74365 and 74369. The biggest common factor number is the GCF number.
So the greatest common factor 74365 and 74369 is 1.

Also check out the Least Common Multiple of 74365 and 74369