What is the Greatest Common Factor of 65376 and 65389?

Greatest common factor (GCF) of 65376 and 65389 is 1.

GCF(65376,65389) = 1

We will now calculate the prime factors of 65376 and 65389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65376 and 65389.

How to find the GCF of 65376 and 65389?

We will first find the prime factorization of 65376 and 65389. After we will calculate the factors of 65376 and 65389 and find the biggest common factor number .

Step-1: Prime Factorization of 65376

Prime factors of 65376 are 2, 3, 227. Prime factorization of 65376 in exponential form is:

65376 = 2⁵ × 3² × 227¹

Step-2: Prime Factorization of 65389

Prime factors of 65389 are 23, 2843. Prime factorization of 65389 in exponential form is:

65389 = 23¹ × 2843¹

Step-3: Factors of 65376

List of positive integer factors of 65376 that divides 65376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 227, 288, 454, 681, 908, 1362, 1816, 2043, 2724, 3632, 4086, 5448, 7264, 8172, 10896, 16344, 21792, 32688

Step-4: Factors of 65389

List of positive integer factors of 65389 that divides 65376 without a remainder.

1, 23, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65376 and 65389. The biggest common factor number is the GCF number.
So the greatest common factor 65376 and 65389 is 1.

Also check out the Least Common Multiple of 65376 and 65389