What is the Greatest Common Factor of 20566 and 20573?

Greatest common factor (GCF) of 20566 and 20573 is 7.

GCF(20566,20573) = 7

We will now calculate the prime factors of 20566 and 20573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20566 and 20573.

How to find the GCF of 20566 and 20573?

We will first find the prime factorization of 20566 and 20573. After we will calculate the factors of 20566 and 20573 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 20573

Prime factors of 20573 are 7, 2939. Prime factorization of 20573 in exponential form is:

20573 = 7¹ × 2939¹

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 20573

List of positive integer factors of 20573 that divides 20566 without a remainder.

1, 7, 2939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20566 and 20573. The biggest common factor number is the GCF number.
So the greatest common factor 20566 and 20573 is 7.

Also check out the Least Common Multiple of 20566 and 20573