What is the Greatest Common Factor of 66854 and 66872?

Greatest common factor (GCF) of 66854 and 66872 is 2.

GCF(66854,66872) = 2

We will now calculate the prime factors of 66854 and 66872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66854 and 66872.

How to find the GCF of 66854 and 66872?

We will first find the prime factorization of 66854 and 66872. After we will calculate the factors of 66854 and 66872 and find the biggest common factor number .

Step-1: Prime Factorization of 66854

Prime factors of 66854 are 2, 33427. Prime factorization of 66854 in exponential form is:

66854 = 2¹ × 33427¹

Step-2: Prime Factorization of 66872

Prime factors of 66872 are 2, 13, 643. Prime factorization of 66872 in exponential form is:

66872 = 2³ × 13¹ × 643¹

Step-3: Factors of 66854

List of positive integer factors of 66854 that divides 66854 without a remainder.

1, 2, 33427

Step-4: Factors of 66872

List of positive integer factors of 66872 that divides 66854 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 643, 1286, 2572, 5144, 8359, 16718, 33436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66854 and 66872. The biggest common factor number is the GCF number.
So the greatest common factor 66854 and 66872 is 2.

Also check out the Least Common Multiple of 66854 and 66872