What is the Greatest Common Factor of 75384 and 75389?

Greatest common factor (GCF) of 75384 and 75389 is 1.

GCF(75384,75389) = 1

We will now calculate the prime factors of 75384 and 75389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75384 and 75389.

How to find the GCF of 75384 and 75389?

We will first find the prime factorization of 75384 and 75389. After we will calculate the factors of 75384 and 75389 and find the biggest common factor number .

Step-1: Prime Factorization of 75384

Prime factors of 75384 are 2, 3, 349. Prime factorization of 75384 in exponential form is:

75384 = 2³ × 3³ × 349¹

Step-2: Prime Factorization of 75389

Prime factors of 75389 are 75389. Prime factorization of 75389 in exponential form is:

75389 = 75389¹

Step-3: Factors of 75384

List of positive integer factors of 75384 that divides 75384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 6282, 8376, 9423, 12564, 18846, 25128, 37692

Step-4: Factors of 75389

List of positive integer factors of 75389 that divides 75384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75384 and 75389. The biggest common factor number is the GCF number.
So the greatest common factor 75384 and 75389 is 1.

Also check out the Least Common Multiple of 75384 and 75389