What is the Greatest Common Factor of 64865 and 64875?

Greatest common factor (GCF) of 64865 and 64875 is 5.

GCF(64865,64875) = 5

We will now calculate the prime factors of 64865 and 64875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64865 and 64875.

How to find the GCF of 64865 and 64875?

We will first find the prime factorization of 64865 and 64875. After we will calculate the factors of 64865 and 64875 and find the biggest common factor number .

Step-1: Prime Factorization of 64865

Prime factors of 64865 are 5, 12973. Prime factorization of 64865 in exponential form is:

64865 = 5¹ × 12973¹

Step-2: 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-3: Factors of 64865

List of positive integer factors of 64865 that divides 64865 without a remainder.

1, 5, 12973

Step-4: Factors of 64875

List of positive integer factors of 64875 that divides 64865 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64865 and 64875. The biggest common factor number is the GCF number.
So the greatest common factor 64865 and 64875 is 5.

Also check out the Least Common Multiple of 64865 and 64875