What is the Greatest Common Factor of 74369 and 74389?

Greatest common factor (GCF) of 74369 and 74389 is 1.

GCF(74369,74389) = 1

We will now calculate the prime factors of 74369 and 74389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74369 and 74389.

How to find the GCF of 74369 and 74389?

We will first find the prime factorization of 74369 and 74389. After we will calculate the factors of 74369 and 74389 and find the biggest common factor number .

Step-1: Prime Factorization of 74369

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

74369 = 31¹ × 2399¹

Step-2: Prime Factorization of 74389

Prime factors of 74389 are 7, 10627. Prime factorization of 74389 in exponential form is:

74389 = 7¹ × 10627¹

Step-3: Factors of 74369

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

1, 31, 2399

Step-4: Factors of 74389

List of positive integer factors of 74389 that divides 74369 without a remainder.

1, 7, 10627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74369 and 74389. The biggest common factor number is the GCF number.
So the greatest common factor 74369 and 74389 is 1.

Also check out the Least Common Multiple of 74369 and 74389