What is the Greatest Common Factor of 16356 and 16362?

Greatest common factor (GCF) of 16356 and 16362 is 6.

GCF(16356,16362) = 6

We will now calculate the prime factors of 16356 and 16362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16356 and 16362.

How to find the GCF of 16356 and 16362?

We will first find the prime factorization of 16356 and 16362. After we will calculate the factors of 16356 and 16362 and find the biggest common factor number .

Step-1: Prime Factorization of 16356

Prime factors of 16356 are 2, 3, 29, 47. Prime factorization of 16356 in exponential form is:

16356 = 2² × 3¹ × 29¹ × 47¹

Step-2: 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-3: Factors of 16356

List of positive integer factors of 16356 that divides 16356 without a remainder.

1, 2, 3, 4, 6, 12, 29, 47, 58, 87, 94, 116, 141, 174, 188, 282, 348, 564, 1363, 2726, 4089, 5452, 8178

Step-4: Factors of 16362

List of positive integer factors of 16362 that divides 16356 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16356 and 16362. The biggest common factor number is the GCF number.
So the greatest common factor 16356 and 16362 is 6.

Also check out the Least Common Multiple of 16356 and 16362