What is the Greatest Common Factor of 64875 and 64884?

Greatest common factor (GCF) of 64875 and 64884 is 3.

GCF(64875,64884) = 3

We will now calculate the prime factors of 64875 and 64884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64875 and 64884.

How to find the GCF of 64875 and 64884?

We will first find the prime factorization of 64875 and 64884. After we will calculate the factors of 64875 and 64884 and find the biggest common factor number .

Step-1: Prime Factorization of 64875

Prime factors of 64875 are 3, 5, 173. Prime factorization of 64875 in exponential form is:

64875 = 3¹ × 5³ × 173¹

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 64875

List of positive integer factors of 64875 that divides 64875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 173, 375, 519, 865, 2595, 4325, 12975, 21625

Step-4: Factors of 64884

List of positive integer factors of 64884 that divides 64875 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 64875 and 64884. The biggest common factor number is the GCF number.
So the greatest common factor 64875 and 64884 is 3.

Also check out the Least Common Multiple of 64875 and 64884