What is the Greatest Common Factor of 66404 and 66408?

Greatest common factor (GCF) of 66404 and 66408 is 4.

GCF(66404,66408) = 4

We will now calculate the prime factors of 66404 and 66408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66404 and 66408.

How to find the GCF of 66404 and 66408?

We will first find the prime factorization of 66404 and 66408. After we will calculate the factors of 66404 and 66408 and find the biggest common factor number .

Step-1: Prime Factorization of 66404

Prime factors of 66404 are 2, 13, 1277. Prime factorization of 66404 in exponential form is:

66404 = 2² × 13¹ × 1277¹

Step-2: Prime Factorization of 66408

Prime factors of 66408 are 2, 3, 2767. Prime factorization of 66408 in exponential form is:

66408 = 2³ × 3¹ × 2767¹

Step-3: Factors of 66404

List of positive integer factors of 66404 that divides 66404 without a remainder.

1, 2, 4, 13, 26, 52, 1277, 2554, 5108, 16601, 33202

Step-4: Factors of 66408

List of positive integer factors of 66408 that divides 66404 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2767, 5534, 8301, 11068, 16602, 22136, 33204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66404 and 66408. The biggest common factor number is the GCF number.
So the greatest common factor 66404 and 66408 is 4.

Also check out the Least Common Multiple of 66404 and 66408