What is the Greatest Common Factor of 65856 and 65865?

Greatest common factor (GCF) of 65856 and 65865 is 3.

GCF(65856,65865) = 3

We will now calculate the prime factors of 65856 and 65865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65856 and 65865.

How to find the GCF of 65856 and 65865?

We will first find the prime factorization of 65856 and 65865. After we will calculate the factors of 65856 and 65865 and find the biggest common factor number .

Step-1: Prime Factorization of 65856

Prime factors of 65856 are 2, 3, 7. Prime factorization of 65856 in exponential form is:

65856 = 2⁶ × 3¹ × 7³

Step-2: Prime Factorization of 65865

Prime factors of 65865 are 3, 5, 4391. Prime factorization of 65865 in exponential form is:

65865 = 3¹ × 5¹ × 4391¹

Step-3: Factors of 65856

List of positive integer factors of 65856 that divides 65856 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 343, 392, 448, 588, 672, 686, 784, 1029, 1176, 1344, 1372, 1568, 2058, 2352, 2744, 3136, 4116, 4704, 5488, 8232, 9408, 10976, 16464, 21952, 32928

Step-4: Factors of 65865

List of positive integer factors of 65865 that divides 65856 without a remainder.

1, 3, 5, 15, 4391, 13173, 21955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65856 and 65865. The biggest common factor number is the GCF number.
So the greatest common factor 65856 and 65865 is 3.

Also check out the Least Common Multiple of 65856 and 65865