What is the Greatest Common Factor of 74401 and 74405?

Greatest common factor (GCF) of 74401 and 74405 is 1.

GCF(74401,74405) = 1

We will now calculate the prime factors of 74401 and 74405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74401 and 74405.

How to find the GCF of 74401 and 74405?

We will first find the prime factorization of 74401 and 74405. After we will calculate the factors of 74401 and 74405 and find the biggest common factor number .

Step-1: Prime Factorization of 74401

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

74401 = 47¹ × 1583¹

Step-2: Prime Factorization of 74405

Prime factors of 74405 are 5, 23, 647. Prime factorization of 74405 in exponential form is:

74405 = 5¹ × 23¹ × 647¹

Step-3: Factors of 74401

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

1, 47, 1583

Step-4: Factors of 74405

List of positive integer factors of 74405 that divides 74401 without a remainder.

1, 5, 23, 115, 647, 3235, 14881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74401 and 74405. The biggest common factor number is the GCF number.
So the greatest common factor 74401 and 74405 is 1.

Also check out the Least Common Multiple of 74401 and 74405