What is the Greatest Common Factor of 20582 and 20602?

Greatest common factor (GCF) of 20582 and 20602 is 2.

GCF(20582,20602) = 2

We will now calculate the prime factors of 20582 and 20602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20582 and 20602.

How to find the GCF of 20582 and 20602?

We will first find the prime factorization of 20582 and 20602. After we will calculate the factors of 20582 and 20602 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 20602

Prime factors of 20602 are 2, 10301. Prime factorization of 20602 in exponential form is:

20602 = 2¹ × 10301¹

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 20602

List of positive integer factors of 20602 that divides 20582 without a remainder.

1, 2, 10301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20582 and 20602. The biggest common factor number is the GCF number.
So the greatest common factor 20582 and 20602 is 2.

Also check out the Least Common Multiple of 20582 and 20602