What is the Greatest Common Factor of 64854 and 64872?

Greatest common factor (GCF) of 64854 and 64872 is 18.

GCF(64854,64872) = 18

We will now calculate the prime factors of 64854 and 64872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64854 and 64872.

How to find the GCF of 64854 and 64872?

We will first find the prime factorization of 64854 and 64872. After we will calculate the factors of 64854 and 64872 and find the biggest common factor number .

Step-1: Prime Factorization of 64854

Prime factors of 64854 are 2, 3, 1201. Prime factorization of 64854 in exponential form is:

64854 = 2¹ × 3³ × 1201¹

Step-2: Prime Factorization of 64872

Prime factors of 64872 are 2, 3, 17, 53. Prime factorization of 64872 in exponential form is:

64872 = 2³ × 3² × 17¹ × 53¹

Step-3: Factors of 64854

List of positive integer factors of 64854 that divides 64854 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1201, 2402, 3603, 7206, 10809, 21618, 32427

Step-4: Factors of 64872

List of positive integer factors of 64872 that divides 64854 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 53, 68, 72, 102, 106, 136, 153, 159, 204, 212, 306, 318, 408, 424, 477, 612, 636, 901, 954, 1224, 1272, 1802, 1908, 2703, 3604, 3816, 5406, 7208, 8109, 10812, 16218, 21624, 32436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64854 and 64872. The biggest common factor number is the GCF number.
So the greatest common factor 64854 and 64872 is 18.

Also check out the Least Common Multiple of 64854 and 64872