What is the Greatest Common Factor of 19602 and 19620?

Greatest common factor (GCF) of 19602 and 19620 is 18.

GCF(19602,19620) = 18

We will now calculate the prime factors of 19602 and 19620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19602 and 19620.

How to find the GCF of 19602 and 19620?

We will first find the prime factorization of 19602 and 19620. After we will calculate the factors of 19602 and 19620 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19620

Prime factors of 19620 are 2, 3, 5, 109. Prime factorization of 19620 in exponential form is:

19620 = 2² × 3² × 5¹ × 109¹

Step-3: Factors of 19602

List of positive integer factors of 19602 that divides 19602 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

Step-4: Factors of 19620

List of positive integer factors of 19620 that divides 19602 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 109, 180, 218, 327, 436, 545, 654, 981, 1090, 1308, 1635, 1962, 2180, 3270, 3924, 4905, 6540, 9810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19602 and 19620. The biggest common factor number is the GCF number.
So the greatest common factor 19602 and 19620 is 18.

Also check out the Least Common Multiple of 19602 and 19620