What is the Greatest Common Factor of 64854 and 64864?

Greatest common factor (GCF) of 64854 and 64864 is 2.

GCF(64854,64864) = 2

We will now calculate the prime factors of 64854 and 64864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64854 and 64864.

How to find the GCF of 64854 and 64864?

We will first find the prime factorization of 64854 and 64864. After we will calculate the factors of 64854 and 64864 and find the biggest common factor number .

Step-1: Prime Factorization of 64854

Prime factors of 64854 are 2, 3, 1201. Prime factorization of 64854 in exponential form is:

64854 = 2¹ × 3³ × 1201¹

Step-2: Prime Factorization of 64864

Prime factors of 64864 are 2, 2027. Prime factorization of 64864 in exponential form is:

64864 = 2⁵ × 2027¹

Step-3: Factors of 64854

List of positive integer factors of 64854 that divides 64854 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1201, 2402, 3603, 7206, 10809, 21618, 32427

Step-4: Factors of 64864

List of positive integer factors of 64864 that divides 64854 without a remainder.

1, 2, 4, 8, 16, 32, 2027, 4054, 8108, 16216, 32432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64854 and 64864. The biggest common factor number is the GCF number.
So the greatest common factor 64854 and 64864 is 2.

Also check out the Least Common Multiple of 64854 and 64864