What is the Greatest Common Factor of 64875 and 64893?

Greatest common factor (GCF) of 64875 and 64893 is 3.

GCF(64875,64893) = 3

We will now calculate the prime factors of 64875 and 64893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64875 and 64893.

How to find the GCF of 64875 and 64893?

We will first find the prime factorization of 64875 and 64893. After we will calculate the factors of 64875 and 64893 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 64893

Prime factors of 64893 are 3, 97, 223. Prime factorization of 64893 in exponential form is:

64893 = 3¹ × 97¹ × 223¹

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 64893

List of positive integer factors of 64893 that divides 64875 without a remainder.

1, 3, 97, 223, 291, 669, 21631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64875 and 64893. The biggest common factor number is the GCF number.
So the greatest common factor 64875 and 64893 is 3.

Also check out the Least Common Multiple of 64875 and 64893