What is the Greatest Common Factor of 65376 and 65392?

Greatest common factor (GCF) of 65376 and 65392 is 16.

GCF(65376,65392) = 16

We will now calculate the prime factors of 65376 and 65392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65376 and 65392.

How to find the GCF of 65376 and 65392?

We will first find the prime factorization of 65376 and 65392. After we will calculate the factors of 65376 and 65392 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 65392

Prime factors of 65392 are 2, 61, 67. Prime factorization of 65392 in exponential form is:

65392 = 2⁴ × 61¹ × 67¹

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 65392

List of positive integer factors of 65392 that divides 65376 without a remainder.

1, 2, 4, 8, 16, 61, 67, 122, 134, 244, 268, 488, 536, 976, 1072, 4087, 8174, 16348, 32696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65376 and 65392. The biggest common factor number is the GCF number.
So the greatest common factor 65376 and 65392 is 16.

Also check out the Least Common Multiple of 65376 and 65392