What is the Greatest Common Factor of 21582 and 21594?

Greatest common factor (GCF) of 21582 and 21594 is 6.

GCF(21582,21594) = 6

We will now calculate the prime factors of 21582 and 21594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21582 and 21594.

How to find the GCF of 21582 and 21594?

We will first find the prime factorization of 21582 and 21594. After we will calculate the factors of 21582 and 21594 and find the biggest common factor number .

Step-1: Prime Factorization of 21582

Prime factors of 21582 are 2, 3, 11, 109. Prime factorization of 21582 in exponential form is:

21582 = 2¹ × 3² × 11¹ × 109¹

Step-2: Prime Factorization of 21594

Prime factors of 21594 are 2, 3, 59, 61. Prime factorization of 21594 in exponential form is:

21594 = 2¹ × 3¹ × 59¹ × 61¹

Step-3: Factors of 21582

List of positive integer factors of 21582 that divides 21582 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 109, 198, 218, 327, 654, 981, 1199, 1962, 2398, 3597, 7194, 10791

Step-4: Factors of 21594

List of positive integer factors of 21594 that divides 21582 without a remainder.

1, 2, 3, 6, 59, 61, 118, 122, 177, 183, 354, 366, 3599, 7198, 10797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21582 and 21594. The biggest common factor number is the GCF number.
So the greatest common factor 21582 and 21594 is 6.

Also check out the Least Common Multiple of 21582 and 21594