What is the Greatest Common Factor of 74389 and 74401?

Greatest common factor (GCF) of 74389 and 74401 is 1.

GCF(74389,74401) = 1

We will now calculate the prime factors of 74389 and 74401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74389 and 74401.

How to find the GCF of 74389 and 74401?

We will first find the prime factorization of 74389 and 74401. After we will calculate the factors of 74389 and 74401 and find the biggest common factor number .

Step-1: Prime Factorization of 74389

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

74389 = 7¹ × 10627¹

Step-2: Prime Factorization of 74401

Prime factors of 74401 are 47, 1583. Prime factorization of 74401 in exponential form is:

74401 = 47¹ × 1583¹

Step-3: Factors of 74389

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

1, 7, 10627

Step-4: Factors of 74401

List of positive integer factors of 74401 that divides 74389 without a remainder.

1, 47, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74389 and 74401. The biggest common factor number is the GCF number.
So the greatest common factor 74389 and 74401 is 1.

Also check out the Least Common Multiple of 74389 and 74401