What is the Greatest Common Factor of 64864 and 64884?

Greatest common factor (GCF) of 64864 and 64884 is 4.

GCF(64864,64884) = 4

We will now calculate the prime factors of 64864 and 64884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64864 and 64884.

How to find the GCF of 64864 and 64884?

We will first find the prime factorization of 64864 and 64884. After we will calculate the factors of 64864 and 64884 and find the biggest common factor number .

Step-1: Prime Factorization of 64864

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

64864 = 2⁵ × 2027¹

Step-2: Prime Factorization of 64884

Prime factors of 64884 are 2, 3, 5407. Prime factorization of 64884 in exponential form is:

64884 = 2² × 3¹ × 5407¹

Step-3: Factors of 64864

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

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

Step-4: Factors of 64884

List of positive integer factors of 64884 that divides 64864 without a remainder.

1, 2, 3, 4, 6, 12, 5407, 10814, 16221, 21628, 32442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64864 and 64884. The biggest common factor number is the GCF number.
So the greatest common factor 64864 and 64884 is 4.

Also check out the Least Common Multiple of 64864 and 64884