What is the Greatest Common Factor of 20582 and 20600?

Greatest common factor (GCF) of 20582 and 20600 is 2.

GCF(20582,20600) = 2

We will now calculate the prime factors of 20582 and 20600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20582 and 20600.

How to find the GCF of 20582 and 20600?

We will first find the prime factorization of 20582 and 20600. After we will calculate the factors of 20582 and 20600 and find the biggest common factor number .

Step-1: Prime Factorization of 20582

Prime factors of 20582 are 2, 41, 251. Prime factorization of 20582 in exponential form is:

20582 = 2¹ × 41¹ × 251¹

Step-2: Prime Factorization of 20600

Prime factors of 20600 are 2, 5, 103. Prime factorization of 20600 in exponential form is:

20600 = 2³ × 5² × 103¹

Step-3: Factors of 20582

List of positive integer factors of 20582 that divides 20582 without a remainder.

1, 2, 41, 82, 251, 502, 10291

Step-4: Factors of 20600

List of positive integer factors of 20600 that divides 20582 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 103, 200, 206, 412, 515, 824, 1030, 2060, 2575, 4120, 5150, 10300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20582 and 20600. The biggest common factor number is the GCF number.
So the greatest common factor 20582 and 20600 is 2.

Also check out the Least Common Multiple of 20582 and 20600