What is the Greatest Common Factor of 64860 and 64875?

Greatest common factor (GCF) of 64860 and 64875 is 15.

GCF(64860,64875) = 15

We will now calculate the prime factors of 64860 and 64875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64860 and 64875.

How to find the GCF of 64860 and 64875?

We will first find the prime factorization of 64860 and 64875. After we will calculate the factors of 64860 and 64875 and find the biggest common factor number .

Step-1: Prime Factorization of 64860

Prime factors of 64860 are 2, 3, 5, 23, 47. Prime factorization of 64860 in exponential form is:

64860 = 2² × 3¹ × 5¹ × 23¹ × 47¹

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 64860

List of positive integer factors of 64860 that divides 64860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 47, 60, 69, 92, 94, 115, 138, 141, 188, 230, 235, 276, 282, 345, 460, 470, 564, 690, 705, 940, 1081, 1380, 1410, 2162, 2820, 3243, 4324, 5405, 6486, 10810, 12972, 16215, 21620, 32430

Step-4: Factors of 64875

List of positive integer factors of 64875 that divides 64860 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 64860 and 64875. The biggest common factor number is the GCF number.
So the greatest common factor 64860 and 64875 is 15.

Also check out the Least Common Multiple of 64860 and 64875