What is the Greatest Common Factor of 16367 and 16380?

Greatest common factor (GCF) of 16367 and 16380 is 13.

GCF(16367,16380) = 13

We will now calculate the prime factors of 16367 and 16380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16367 and 16380.

How to find the GCF of 16367 and 16380?

We will first find the prime factorization of 16367 and 16380. After we will calculate the factors of 16367 and 16380 and find the biggest common factor number .

Step-1: Prime Factorization of 16367

Prime factors of 16367 are 13, 1259. Prime factorization of 16367 in exponential form is:

16367 = 13¹ × 1259¹

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 16367

List of positive integer factors of 16367 that divides 16367 without a remainder.

1, 13, 1259

Step-4: Factors of 16380

List of positive integer factors of 16380 that divides 16367 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 16367 and 16380. The biggest common factor number is the GCF number.
So the greatest common factor 16367 and 16380 is 13.

Also check out the Least Common Multiple of 16367 and 16380