What is the Greatest Common Factor of 19589 and 19602?

Greatest common factor (GCF) of 19589 and 19602 is 1.

GCF(19589,19602) = 1

We will now calculate the prime factors of 19589 and 19602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19589 and 19602.

How to find the GCF of 19589 and 19602?

We will first find the prime factorization of 19589 and 19602. After we will calculate the factors of 19589 and 19602 and find the biggest common factor number .

Step-1: Prime Factorization of 19589

Prime factors of 19589 are 19, 1031. Prime factorization of 19589 in exponential form is:

19589 = 19¹ × 1031¹

Step-2: Prime Factorization of 19602

Prime factors of 19602 are 2, 3, 11. Prime factorization of 19602 in exponential form is:

19602 = 2¹ × 3⁴ × 11²

Step-3: Factors of 19589

List of positive integer factors of 19589 that divides 19589 without a remainder.

1, 19, 1031

Step-4: Factors of 19602

List of positive integer factors of 19602 that divides 19589 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 121, 162, 198, 242, 297, 363, 594, 726, 891, 1089, 1782, 2178, 3267, 6534, 9801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19589 and 19602. The biggest common factor number is the GCF number.
So the greatest common factor 19589 and 19602 is 1.

Also check out the Least Common Multiple of 19589 and 19602