What is the Greatest Common Factor of 64890 and 64908?

Greatest common factor (GCF) of 64890 and 64908 is 18.

GCF(64890,64908) = 18

We will now calculate the prime factors of 64890 and 64908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64890 and 64908.

How to find the GCF of 64890 and 64908?

We will first find the prime factorization of 64890 and 64908. After we will calculate the factors of 64890 and 64908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64908

Prime factors of 64908 are 2, 3, 601. Prime factorization of 64908 in exponential form is:

64908 = 2² × 3³ × 601¹

Step-3: Factors of 64890

List of positive integer factors of 64890 that divides 64890 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

Step-4: Factors of 64908

List of positive integer factors of 64908 that divides 64890 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 601, 1202, 1803, 2404, 3606, 5409, 7212, 10818, 16227, 21636, 32454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64890 and 64908. The biggest common factor number is the GCF number.
So the greatest common factor 64890 and 64908 is 18.

Also check out the Least Common Multiple of 64890 and 64908