What is the Greatest Common Factor of 64854 and 64874?

Greatest common factor (GCF) of 64854 and 64874 is 2.

GCF(64854,64874) = 2

We will now calculate the prime factors of 64854 and 64874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64854 and 64874.

How to find the GCF of 64854 and 64874?

We will first find the prime factorization of 64854 and 64874. After we will calculate the factors of 64854 and 64874 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 64874

Prime factors of 64874 are 2, 163, 199. Prime factorization of 64874 in exponential form is:

64874 = 2¹ × 163¹ × 199¹

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 64874

List of positive integer factors of 64874 that divides 64854 without a remainder.

1, 2, 163, 199, 326, 398, 32437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64854 and 64874. The biggest common factor number is the GCF number.
So the greatest common factor 64854 and 64874 is 2.

Also check out the Least Common Multiple of 64854 and 64874