What is the Greatest Common Factor of 20562 and 20566?

Greatest common factor (GCF) of 20562 and 20566 is 2.

GCF(20562,20566) = 2

We will now calculate the prime factors of 20562 and 20566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20562 and 20566.

How to find the GCF of 20562 and 20566?

We will first find the prime factorization of 20562 and 20566. After we will calculate the factors of 20562 and 20566 and find the biggest common factor number .

Step-1: Prime Factorization of 20562

Prime factors of 20562 are 2, 3, 23, 149. Prime factorization of 20562 in exponential form is:

20562 = 2¹ × 3¹ × 23¹ × 149¹

Step-2: Prime Factorization of 20566

Prime factors of 20566 are 2, 7, 13, 113. Prime factorization of 20566 in exponential form is:

20566 = 2¹ × 7¹ × 13¹ × 113¹

Step-3: Factors of 20562

List of positive integer factors of 20562 that divides 20562 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 149, 298, 447, 894, 3427, 6854, 10281

Step-4: Factors of 20566

List of positive integer factors of 20566 that divides 20562 without a remainder.

1, 2, 7, 13, 14, 26, 91, 113, 182, 226, 791, 1469, 1582, 2938, 10283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20562 and 20566. The biggest common factor number is the GCF number.
So the greatest common factor 20562 and 20566 is 2.

Also check out the Least Common Multiple of 20562 and 20566