What is the Greatest Common Factor of 64875 and 64880?

Greatest common factor (GCF) of 64875 and 64880 is 5.

GCF(64875,64880) = 5

We will now calculate the prime factors of 64875 and 64880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64875 and 64880.

How to find the GCF of 64875 and 64880?

We will first find the prime factorization of 64875 and 64880. After we will calculate the factors of 64875 and 64880 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 64880

Prime factors of 64880 are 2, 5, 811. Prime factorization of 64880 in exponential form is:

64880 = 2⁴ × 5¹ × 811¹

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 64880

List of positive integer factors of 64880 that divides 64875 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 811, 1622, 3244, 4055, 6488, 8110, 12976, 16220, 32440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64875 and 64880. The biggest common factor number is the GCF number.
So the greatest common factor 64875 and 64880 is 5.

Also check out the Least Common Multiple of 64875 and 64880