What is the Greatest Common Factor of 65360 and 65376?

Greatest common factor (GCF) of 65360 and 65376 is 16.

GCF(65360,65376) = 16

We will now calculate the prime factors of 65360 and 65376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65360 and 65376.

How to find the GCF of 65360 and 65376?

We will first find the prime factorization of 65360 and 65376. After we will calculate the factors of 65360 and 65376 and find the biggest common factor number .

Step-1: Prime Factorization of 65360

Prime factors of 65360 are 2, 5, 19, 43. Prime factorization of 65360 in exponential form is:

65360 = 2⁴ × 5¹ × 19¹ × 43¹

Step-2: 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-3: Factors of 65360

List of positive integer factors of 65360 that divides 65360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 43, 76, 80, 86, 95, 152, 172, 190, 215, 304, 344, 380, 430, 688, 760, 817, 860, 1520, 1634, 1720, 3268, 3440, 4085, 6536, 8170, 13072, 16340, 32680

Step-4: Factors of 65376

List of positive integer factors of 65376 that divides 65360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65360 and 65376. The biggest common factor number is the GCF number.
So the greatest common factor 65360 and 65376 is 16.

Also check out the Least Common Multiple of 65360 and 65376