What is the Greatest Common Factor of 66596 and 66608?

Greatest common factor (GCF) of 66596 and 66608 is 4.

GCF(66596,66608) = 4

We will now calculate the prime factors of 66596 and 66608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66596 and 66608.

How to find the GCF of 66596 and 66608?

We will first find the prime factorization of 66596 and 66608. After we will calculate the factors of 66596 and 66608 and find the biggest common factor number .

Step-1: Prime Factorization of 66596

Prime factors of 66596 are 2, 16649. Prime factorization of 66596 in exponential form is:

66596 = 2² × 16649¹

Step-2: Prime Factorization of 66608

Prime factors of 66608 are 2, 23, 181. Prime factorization of 66608 in exponential form is:

66608 = 2⁴ × 23¹ × 181¹

Step-3: Factors of 66596

List of positive integer factors of 66596 that divides 66596 without a remainder.

1, 2, 4, 16649, 33298

Step-4: Factors of 66608

List of positive integer factors of 66608 that divides 66596 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 181, 184, 362, 368, 724, 1448, 2896, 4163, 8326, 16652, 33304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66596 and 66608. The biggest common factor number is the GCF number.
So the greatest common factor 66596 and 66608 is 4.

Also check out the Least Common Multiple of 66596 and 66608