What is the Greatest Common Factor of 65842 and 65856?

Greatest common factor (GCF) of 65842 and 65856 is 14.

GCF(65842,65856) = 14

We will now calculate the prime factors of 65842 and 65856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65842 and 65856.

How to find the GCF of 65842 and 65856?

We will first find the prime factorization of 65842 and 65856. After we will calculate the factors of 65842 and 65856 and find the biggest common factor number .

Step-1: Prime Factorization of 65842

Prime factors of 65842 are 2, 7, 4703. Prime factorization of 65842 in exponential form is:

65842 = 2¹ × 7¹ × 4703¹

Step-2: 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-3: Factors of 65842

List of positive integer factors of 65842 that divides 65842 without a remainder.

1, 2, 7, 14, 4703, 9406, 32921

Step-4: Factors of 65856

List of positive integer factors of 65856 that divides 65842 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65842 and 65856. The biggest common factor number is the GCF number.
So the greatest common factor 65842 and 65856 is 14.

Also check out the Least Common Multiple of 65842 and 65856