What is the Greatest Common Factor of 74401 and 74414?

Greatest common factor (GCF) of 74401 and 74414 is 1.

GCF(74401,74414) = 1

We will now calculate the prime factors of 74401 and 74414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74401 and 74414.

How to find the GCF of 74401 and 74414?

We will first find the prime factorization of 74401 and 74414. After we will calculate the factors of 74401 and 74414 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 74414

Prime factors of 74414 are 2, 29, 1283. Prime factorization of 74414 in exponential form is:

74414 = 2¹ × 29¹ × 1283¹

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 74414

List of positive integer factors of 74414 that divides 74401 without a remainder.

1, 2, 29, 58, 1283, 2566, 37207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74401 and 74414. The biggest common factor number is the GCF number.
So the greatest common factor 74401 and 74414 is 1.

Also check out the Least Common Multiple of 74401 and 74414