What is the Greatest Common Factor of 56854 and 56864?

Greatest common factor (GCF) of 56854 and 56864 is 2.

GCF(56854,56864) = 2

We will now calculate the prime factors of 56854 and 56864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56854 and 56864.

How to find the GCF of 56854 and 56864?

We will first find the prime factorization of 56854 and 56864. After we will calculate the factors of 56854 and 56864 and find the biggest common factor number .

Step-1: Prime Factorization of 56854

Prime factors of 56854 are 2, 7, 31, 131. Prime factorization of 56854 in exponential form is:

56854 = 2¹ × 7¹ × 31¹ × 131¹

Step-2: Prime Factorization of 56864

Prime factors of 56864 are 2, 1777. Prime factorization of 56864 in exponential form is:

56864 = 2⁵ × 1777¹

Step-3: Factors of 56854

List of positive integer factors of 56854 that divides 56854 without a remainder.

1, 2, 7, 14, 31, 62, 131, 217, 262, 434, 917, 1834, 4061, 8122, 28427

Step-4: Factors of 56864

List of positive integer factors of 56864 that divides 56854 without a remainder.

1, 2, 4, 8, 16, 32, 1777, 3554, 7108, 14216, 28432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56854 and 56864. The biggest common factor number is the GCF number.
So the greatest common factor 56854 and 56864 is 2.

Also check out the Least Common Multiple of 56854 and 56864