What is the Greatest Common Factor of 65856 and 65870?

Greatest common factor (GCF) of 65856 and 65870 is 14.

GCF(65856,65870) = 14

We will now calculate the prime factors of 65856 and 65870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65856 and 65870.

How to find the GCF of 65856 and 65870?

We will first find the prime factorization of 65856 and 65870. After we will calculate the factors of 65856 and 65870 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 65870

Prime factors of 65870 are 2, 5, 7, 941. Prime factorization of 65870 in exponential form is:

65870 = 2¹ × 5¹ × 7¹ × 941¹

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 65870

List of positive integer factors of 65870 that divides 65856 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 941, 1882, 4705, 6587, 9410, 13174, 32935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65856 and 65870. The biggest common factor number is the GCF number.
So the greatest common factor 65856 and 65870 is 14.

Also check out the Least Common Multiple of 65856 and 65870