What is the Greatest Common Factor of 64875 and 64895?

Greatest common factor (GCF) of 64875 and 64895 is 5.

GCF(64875,64895) = 5

We will now calculate the prime factors of 64875 and 64895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64875 and 64895.

How to find the GCF of 64875 and 64895?

We will first find the prime factorization of 64875 and 64895. After we will calculate the factors of 64875 and 64895 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 64895

Prime factors of 64895 are 5, 12979. Prime factorization of 64895 in exponential form is:

64895 = 5¹ × 12979¹

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 64895

List of positive integer factors of 64895 that divides 64875 without a remainder.

1, 5, 12979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64875 and 64895. The biggest common factor number is the GCF number.
So the greatest common factor 64875 and 64895 is 5.

Also check out the Least Common Multiple of 64875 and 64895