What is the Greatest Common Factor of 74385 and 74392?

Greatest common factor (GCF) of 74385 and 74392 is 1.

GCF(74385,74392) = 1

We will now calculate the prime factors of 74385 and 74392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74385 and 74392.

How to find the GCF of 74385 and 74392?

We will first find the prime factorization of 74385 and 74392. After we will calculate the factors of 74385 and 74392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74392

Prime factors of 74392 are 2, 17, 547. Prime factorization of 74392 in exponential form is:

74392 = 2³ × 17¹ × 547¹

Step-3: Factors of 74385

List of positive integer factors of 74385 that divides 74385 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

Step-4: Factors of 74392

List of positive integer factors of 74392 that divides 74385 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 547, 1094, 2188, 4376, 9299, 18598, 37196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74385 and 74392. The biggest common factor number is the GCF number.
So the greatest common factor 74385 and 74392 is 1.

Also check out the Least Common Multiple of 74385 and 74392