What is the Greatest Common Factor of 16362 and 16380?

Greatest common factor (GCF) of 16362 and 16380 is 18.

GCF(16362,16380) = 18

We will now calculate the prime factors of 16362 and 16380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16362 and 16380.

How to find the GCF of 16362 and 16380?

We will first find the prime factorization of 16362 and 16380. After we will calculate the factors of 16362 and 16380 and find the biggest common factor number .

Step-1: Prime Factorization of 16362

Prime factors of 16362 are 2, 3, 101. Prime factorization of 16362 in exponential form is:

16362 = 2¹ × 3⁴ × 101¹

Step-2: Prime Factorization of 16380

Prime factors of 16380 are 2, 3, 5, 7, 13. Prime factorization of 16380 in exponential form is:

16380 = 2² × 3² × 5¹ × 7¹ × 13¹

Step-3: Factors of 16362

List of positive integer factors of 16362 that divides 16362 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 101, 162, 202, 303, 606, 909, 1818, 2727, 5454, 8181

Step-4: Factors of 16380

List of positive integer factors of 16380 that divides 16362 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 18, 20, 21, 26, 28, 30, 35, 36, 39, 42, 45, 52, 60, 63, 65, 70, 78, 84, 90, 91, 105, 117, 126, 130, 140, 156, 180, 182, 195, 210, 234, 252, 260, 273, 315, 364, 390, 420, 455, 468, 546, 585, 630, 780, 819, 910, 1092, 1170, 1260, 1365, 1638, 1820, 2340, 2730, 3276, 4095, 5460, 8190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16362 and 16380. The biggest common factor number is the GCF number.
So the greatest common factor 16362 and 16380 is 18.

Also check out the Least Common Multiple of 16362 and 16380