What is the Greatest Common Factor of 64854 and 64870?

Greatest common factor (GCF) of 64854 and 64870 is 2.

GCF(64854,64870) = 2

We will now calculate the prime factors of 64854 and 64870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64854 and 64870.

How to find the GCF of 64854 and 64870?

We will first find the prime factorization of 64854 and 64870. After we will calculate the factors of 64854 and 64870 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 64870

Prime factors of 64870 are 2, 5, 13, 499. Prime factorization of 64870 in exponential form is:

64870 = 2¹ × 5¹ × 13¹ × 499¹

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 64870

List of positive integer factors of 64870 that divides 64854 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 499, 998, 2495, 4990, 6487, 12974, 32435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64854 and 64870. The biggest common factor number is the GCF number.
So the greatest common factor 64854 and 64870 is 2.

Also check out the Least Common Multiple of 64854 and 64870