What is the Greatest Common Factor of 20566 and 20577?

Greatest common factor (GCF) of 20566 and 20577 is 1.

GCF(20566,20577) = 1

We will now calculate the prime factors of 20566 and 20577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20566 and 20577.

How to find the GCF of 20566 and 20577?

We will first find the prime factorization of 20566 and 20577. After we will calculate the factors of 20566 and 20577 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 20577

Prime factors of 20577 are 3, 19. Prime factorization of 20577 in exponential form is:

20577 = 3¹ × 19³

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 20577

List of positive integer factors of 20577 that divides 20566 without a remainder.

1, 3, 19, 57, 361, 1083, 6859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20566 and 20577. The biggest common factor number is the GCF number.
So the greatest common factor 20566 and 20577 is 1.

Also check out the Least Common Multiple of 20566 and 20577