What is the Greatest Common Factor of 21586 and 21604?

Greatest common factor (GCF) of 21586 and 21604 is 2.

GCF(21586,21604) = 2

We will now calculate the prime factors of 21586 and 21604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21586 and 21604.

How to find the GCF of 21586 and 21604?

We will first find the prime factorization of 21586 and 21604. After we will calculate the factors of 21586 and 21604 and find the biggest common factor number .

Step-1: Prime Factorization of 21586

Prime factors of 21586 are 2, 43, 251. Prime factorization of 21586 in exponential form is:

21586 = 2¹ × 43¹ × 251¹

Step-2: Prime Factorization of 21604

Prime factors of 21604 are 2, 11, 491. Prime factorization of 21604 in exponential form is:

21604 = 2² × 11¹ × 491¹

Step-3: Factors of 21586

List of positive integer factors of 21586 that divides 21586 without a remainder.

1, 2, 43, 86, 251, 502, 10793

Step-4: Factors of 21604

List of positive integer factors of 21604 that divides 21586 without a remainder.

1, 2, 4, 11, 22, 44, 491, 982, 1964, 5401, 10802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21586 and 21604. The biggest common factor number is the GCF number.
So the greatest common factor 21586 and 21604 is 2.

Also check out the Least Common Multiple of 21586 and 21604