What is the Greatest Common Factor of 16372 and 16380?

Greatest common factor (GCF) of 16372 and 16380 is 4.

GCF(16372,16380) = 4

We will now calculate the prime factors of 16372 and 16380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16372 and 16380.

How to find the GCF of 16372 and 16380?

We will first find the prime factorization of 16372 and 16380. After we will calculate the factors of 16372 and 16380 and find the biggest common factor number .

Step-1: Prime Factorization of 16372

Prime factors of 16372 are 2, 4093. Prime factorization of 16372 in exponential form is:

16372 = 2² × 4093¹

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 16372

List of positive integer factors of 16372 that divides 16372 without a remainder.

1, 2, 4, 4093, 8186

Step-4: Factors of 16380

List of positive integer factors of 16380 that divides 16372 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 16372 and 16380. The biggest common factor number is the GCF number.
So the greatest common factor 16372 and 16380 is 4.

Also check out the Least Common Multiple of 16372 and 16380