What is the Greatest Common Factor of 65856 and 65871?

Greatest common factor (GCF) of 65856 and 65871 is 3.

GCF(65856,65871) = 3

We will now calculate the prime factors of 65856 and 65871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65856 and 65871.

How to find the GCF of 65856 and 65871?

We will first find the prime factorization of 65856 and 65871. After we will calculate the factors of 65856 and 65871 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 65871

Prime factors of 65871 are 3, 13, 563. Prime factorization of 65871 in exponential form is:

65871 = 3² × 13¹ × 563¹

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 65871

List of positive integer factors of 65871 that divides 65856 without a remainder.

1, 3, 9, 13, 39, 117, 563, 1689, 5067, 7319, 21957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65856 and 65871. The biggest common factor number is the GCF number.
So the greatest common factor 65856 and 65871 is 3.

Also check out the Least Common Multiple of 65856 and 65871