What is the Greatest Common Factor of 64854 and 64860?

Greatest common factor (GCF) of 64854 and 64860 is 6.

GCF(64854,64860) = 6

We will now calculate the prime factors of 64854 and 64860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64854 and 64860.

How to find the GCF of 64854 and 64860?

We will first find the prime factorization of 64854 and 64860. After we will calculate the factors of 64854 and 64860 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 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-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 64860

List of positive integer factors of 64860 that divides 64854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64854 and 64860. The biggest common factor number is the GCF number.
So the greatest common factor 64854 and 64860 is 6.

Also check out the Least Common Multiple of 64854 and 64860