What is the Greatest Common Factor of 66864 and 66878?

Greatest common factor (GCF) of 66864 and 66878 is 14.

GCF(66864,66878) = 14

We will now calculate the prime factors of 66864 and 66878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66864 and 66878.

How to find the GCF of 66864 and 66878?

We will first find the prime factorization of 66864 and 66878. After we will calculate the factors of 66864 and 66878 and find the biggest common factor number .

Step-1: Prime Factorization of 66864

Prime factors of 66864 are 2, 3, 7, 199. Prime factorization of 66864 in exponential form is:

66864 = 2⁴ × 3¹ × 7¹ × 199¹

Step-2: Prime Factorization of 66878

Prime factors of 66878 are 2, 7, 17, 281. Prime factorization of 66878 in exponential form is:

66878 = 2¹ × 7¹ × 17¹ × 281¹

Step-3: Factors of 66864

List of positive integer factors of 66864 that divides 66864 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 199, 336, 398, 597, 796, 1194, 1393, 1592, 2388, 2786, 3184, 4179, 4776, 5572, 8358, 9552, 11144, 16716, 22288, 33432

Step-4: Factors of 66878

List of positive integer factors of 66878 that divides 66864 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 281, 562, 1967, 3934, 4777, 9554, 33439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66864 and 66878. The biggest common factor number is the GCF number.
So the greatest common factor 66864 and 66878 is 14.

Also check out the Least Common Multiple of 66864 and 66878