What is the Greatest Common Factor of 65850 and 65856?

Greatest common factor (GCF) of 65850 and 65856 is 6.

GCF(65850,65856) = 6

We will now calculate the prime factors of 65850 and 65856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65850 and 65856.

How to find the GCF of 65850 and 65856?

We will first find the prime factorization of 65850 and 65856. After we will calculate the factors of 65850 and 65856 and find the biggest common factor number .

Step-1: Prime Factorization of 65850

Prime factors of 65850 are 2, 3, 5, 439. Prime factorization of 65850 in exponential form is:

65850 = 2¹ × 3¹ × 5² × 439¹

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 65850

List of positive integer factors of 65850 that divides 65850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 439, 878, 1317, 2195, 2634, 4390, 6585, 10975, 13170, 21950, 32925

Step-4: Factors of 65856

List of positive integer factors of 65856 that divides 65850 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 65850 and 65856. The biggest common factor number is the GCF number.
So the greatest common factor 65850 and 65856 is 6.

Also check out the Least Common Multiple of 65850 and 65856