What is the Greatest Common Factor of 74385 and 74402?

Greatest common factor (GCF) of 74385 and 74402 is 1.

GCF(74385,74402) = 1

We will now calculate the prime factors of 74385 and 74402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74385 and 74402.

How to find the GCF of 74385 and 74402?

We will first find the prime factorization of 74385 and 74402. After we will calculate the factors of 74385 and 74402 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 74402

Prime factors of 74402 are 2, 37201. Prime factorization of 74402 in exponential form is:

74402 = 2¹ × 37201¹

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 74402

List of positive integer factors of 74402 that divides 74385 without a remainder.

1, 2, 37201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74385 and 74402. The biggest common factor number is the GCF number.
So the greatest common factor 74385 and 74402 is 1.

Also check out the Least Common Multiple of 74385 and 74402