What is the Greatest Common Factor of 64875 and 64890?

Greatest common factor (GCF) of 64875 and 64890 is 15.

GCF(64875,64890) = 15

We will now calculate the prime factors of 64875 and 64890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64875 and 64890.

How to find the GCF of 64875 and 64890?

We will first find the prime factorization of 64875 and 64890. After we will calculate the factors of 64875 and 64890 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 64890

Prime factors of 64890 are 2, 3, 5, 7, 103. Prime factorization of 64890 in exponential form is:

64890 = 2¹ × 3² × 5¹ × 7¹ × 103¹

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 64890

List of positive integer factors of 64890 that divides 64875 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 103, 105, 126, 206, 210, 309, 315, 515, 618, 630, 721, 927, 1030, 1442, 1545, 1854, 2163, 3090, 3605, 4326, 4635, 6489, 7210, 9270, 10815, 12978, 21630, 32445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64875 and 64890. The biggest common factor number is the GCF number.
So the greatest common factor 64875 and 64890 is 15.

Also check out the Least Common Multiple of 64875 and 64890