What is the Greatest Common Factor of 65856 and 65876?

Greatest common factor (GCF) of 65856 and 65876 is 4.

GCF(65856,65876) = 4

We will now calculate the prime factors of 65856 and 65876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65856 and 65876.

How to find the GCF of 65856 and 65876?

We will first find the prime factorization of 65856 and 65876. After we will calculate the factors of 65856 and 65876 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 65876

Prime factors of 65876 are 2, 43, 383. Prime factorization of 65876 in exponential form is:

65876 = 2² × 43¹ × 383¹

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 65876

List of positive integer factors of 65876 that divides 65856 without a remainder.

1, 2, 4, 43, 86, 172, 383, 766, 1532, 16469, 32938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65856 and 65876. The biggest common factor number is the GCF number.
So the greatest common factor 65856 and 65876 is 4.

Also check out the Least Common Multiple of 65856 and 65876