What is the Greatest Common Factor of 20566 and 20572?

Greatest common factor (GCF) of 20566 and 20572 is 2.

GCF(20566,20572) = 2

We will now calculate the prime factors of 20566 and 20572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20566 and 20572.

How to find the GCF of 20566 and 20572?

We will first find the prime factorization of 20566 and 20572. After we will calculate the factors of 20566 and 20572 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20572

Prime factors of 20572 are 2, 37, 139. Prime factorization of 20572 in exponential form is:

20572 = 2² × 37¹ × 139¹

Step-3: Factors of 20566

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

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

Step-4: Factors of 20572

List of positive integer factors of 20572 that divides 20566 without a remainder.

1, 2, 4, 37, 74, 139, 148, 278, 556, 5143, 10286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20566 and 20572. The biggest common factor number is the GCF number.
So the greatest common factor 20566 and 20572 is 2.

Also check out the Least Common Multiple of 20566 and 20572