What is the Greatest Common Factor of 20566 and 20584?

Greatest common factor (GCF) of 20566 and 20584 is 2.

GCF(20566,20584) = 2

We will now calculate the prime factors of 20566 and 20584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20566 and 20584.

How to find the GCF of 20566 and 20584?

We will first find the prime factorization of 20566 and 20584. After we will calculate the factors of 20566 and 20584 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 20584

Prime factors of 20584 are 2, 31, 83. Prime factorization of 20584 in exponential form is:

20584 = 2³ × 31¹ × 83¹

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 20584

List of positive integer factors of 20584 that divides 20566 without a remainder.

1, 2, 4, 8, 31, 62, 83, 124, 166, 248, 332, 664, 2573, 5146, 10292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20566 and 20584. The biggest common factor number is the GCF number.
So the greatest common factor 20566 and 20584 is 2.

Also check out the Least Common Multiple of 20566 and 20584