What is the Greatest Common Factor of 64890 and 64910?

Greatest common factor (GCF) of 64890 and 64910 is 10.

GCF(64890,64910) = 10

We will now calculate the prime factors of 64890 and 64910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64890 and 64910.

How to find the GCF of 64890 and 64910?

We will first find the prime factorization of 64890 and 64910. After we will calculate the factors of 64890 and 64910 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 64910

Prime factors of 64910 are 2, 5, 6491. Prime factorization of 64910 in exponential form is:

64910 = 2¹ × 5¹ × 6491¹

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 64910

List of positive integer factors of 64910 that divides 64890 without a remainder.

1, 2, 5, 10, 6491, 12982, 32455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64890 and 64910. The biggest common factor number is the GCF number.
So the greatest common factor 64890 and 64910 is 10.

Also check out the Least Common Multiple of 64890 and 64910