What is the Greatest Common Factor of 74369 and 74385?

Greatest common factor (GCF) of 74369 and 74385 is 1.

GCF(74369,74385) = 1

We will now calculate the prime factors of 74369 and 74385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74369 and 74385.

How to find the GCF of 74369 and 74385?

We will first find the prime factorization of 74369 and 74385. After we will calculate the factors of 74369 and 74385 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 74385

Prime factors of 74385 are 3, 5, 19, 29. Prime factorization of 74385 in exponential form is:

74385 = 3³ × 5¹ × 19¹ × 29¹

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 74385

List of positive integer factors of 74385 that divides 74369 without a remainder.

1, 3, 5, 9, 15, 19, 27, 29, 45, 57, 87, 95, 135, 145, 171, 261, 285, 435, 513, 551, 783, 855, 1305, 1653, 2565, 2755, 3915, 4959, 8265, 14877, 24795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74369 and 74385. The biggest common factor number is the GCF number.
So the greatest common factor 74369 and 74385 is 1.

Also check out the Least Common Multiple of 74369 and 74385