What is the Greatest Common Factor of 65856 and 65874?

Greatest common factor (GCF) of 65856 and 65874 is 6.

GCF(65856,65874) = 6

We will now calculate the prime factors of 65856 and 65874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65856 and 65874.

How to find the GCF of 65856 and 65874?

We will first find the prime factorization of 65856 and 65874. After we will calculate the factors of 65856 and 65874 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 65874

Prime factors of 65874 are 2, 3, 10979. Prime factorization of 65874 in exponential form is:

65874 = 2¹ × 3¹ × 10979¹

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 65874

List of positive integer factors of 65874 that divides 65856 without a remainder.

1, 2, 3, 6, 10979, 21958, 32937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65856 and 65874. The biggest common factor number is the GCF number.
So the greatest common factor 65856 and 65874 is 6.

Also check out the Least Common Multiple of 65856 and 65874