What is the Greatest Common Factor of 16375 and 16380?

Greatest common factor (GCF) of 16375 and 16380 is 5.

GCF(16375,16380) = 5

We will now calculate the prime factors of 16375 and 16380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16375 and 16380.

How to find the GCF of 16375 and 16380?

We will first find the prime factorization of 16375 and 16380. After we will calculate the factors of 16375 and 16380 and find the biggest common factor number .

Step-1: Prime Factorization of 16375

Prime factors of 16375 are 5, 131. Prime factorization of 16375 in exponential form is:

16375 = 5³ × 131¹

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 16375

List of positive integer factors of 16375 that divides 16375 without a remainder.

1, 5, 25, 125, 131, 655, 3275

Step-4: Factors of 16380

List of positive integer factors of 16380 that divides 16375 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 16375 and 16380. The biggest common factor number is the GCF number.
So the greatest common factor 16375 and 16380 is 5.

Also check out the Least Common Multiple of 16375 and 16380