What is the Greatest Common Factor of 20596 and 20608?

Greatest common factor (GCF) of 20596 and 20608 is 4.

GCF(20596,20608) = 4

We will now calculate the prime factors of 20596 and 20608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20596 and 20608.

How to find the GCF of 20596 and 20608?

We will first find the prime factorization of 20596 and 20608. After we will calculate the factors of 20596 and 20608 and find the biggest common factor number .

Step-1: Prime Factorization of 20596

Prime factors of 20596 are 2, 19, 271. Prime factorization of 20596 in exponential form is:

20596 = 2² × 19¹ × 271¹

Step-2: Prime Factorization of 20608

Prime factors of 20608 are 2, 7, 23. Prime factorization of 20608 in exponential form is:

20608 = 2⁷ × 7¹ × 23¹

Step-3: Factors of 20596

List of positive integer factors of 20596 that divides 20596 without a remainder.

1, 2, 4, 19, 38, 76, 271, 542, 1084, 5149, 10298

Step-4: Factors of 20608

List of positive integer factors of 20608 that divides 20596 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 128, 161, 184, 224, 322, 368, 448, 644, 736, 896, 1288, 1472, 2576, 2944, 5152, 10304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20596 and 20608. The biggest common factor number is the GCF number.
So the greatest common factor 20596 and 20608 is 4.

Also check out the Least Common Multiple of 20596 and 20608