What is the Greatest Common Factor of 20608 and 20622?

Greatest common factor (GCF) of 20608 and 20622 is 14.

GCF(20608,20622) = 14

We will now calculate the prime factors of 20608 and 20622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20608 and 20622.

How to find the GCF of 20608 and 20622?

We will first find the prime factorization of 20608 and 20622. After we will calculate the factors of 20608 and 20622 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20622

Prime factors of 20622 are 2, 3, 7, 491. Prime factorization of 20622 in exponential form is:

20622 = 2¹ × 3¹ × 7¹ × 491¹

Step-3: Factors of 20608

List of positive integer factors of 20608 that divides 20608 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

Step-4: Factors of 20622

List of positive integer factors of 20622 that divides 20608 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 491, 982, 1473, 2946, 3437, 6874, 10311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20608 and 20622. The biggest common factor number is the GCF number.
So the greatest common factor 20608 and 20622 is 14.

Also check out the Least Common Multiple of 20608 and 20622