What is the Greatest Common Factor of 66874 and 66878?

Greatest common factor (GCF) of 66874 and 66878 is 2.

GCF(66874,66878) = 2

We will now calculate the prime factors of 66874 and 66878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66874 and 66878.

How to find the GCF of 66874 and 66878?

We will first find the prime factorization of 66874 and 66878. After we will calculate the factors of 66874 and 66878 and find the biggest common factor number .

Step-1: Prime Factorization of 66874

Prime factors of 66874 are 2, 29, 1153. Prime factorization of 66874 in exponential form is:

66874 = 2¹ × 29¹ × 1153¹

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 66874

List of positive integer factors of 66874 that divides 66874 without a remainder.

1, 2, 29, 58, 1153, 2306, 33437

Step-4: Factors of 66878

List of positive integer factors of 66878 that divides 66874 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 66874 and 66878. The biggest common factor number is the GCF number.
So the greatest common factor 66874 and 66878 is 2.

Also check out the Least Common Multiple of 66874 and 66878