What is the Greatest Common Factor of 16275 and 16282?

Greatest common factor (GCF) of 16275 and 16282 is 7.

GCF(16275,16282) = 7

We will now calculate the prime factors of 16275 and 16282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16275 and 16282.

How to find the GCF of 16275 and 16282?

We will first find the prime factorization of 16275 and 16282. After we will calculate the factors of 16275 and 16282 and find the biggest common factor number .

Step-1: Prime Factorization of 16275

Prime factors of 16275 are 3, 5, 7, 31. Prime factorization of 16275 in exponential form is:

16275 = 3¹ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 16282

Prime factors of 16282 are 2, 7, 1163. Prime factorization of 16282 in exponential form is:

16282 = 2¹ × 7¹ × 1163¹

Step-3: Factors of 16275

List of positive integer factors of 16275 that divides 16275 without a remainder.

1, 3, 5, 7, 15, 21, 25, 31, 35, 75, 93, 105, 155, 175, 217, 465, 525, 651, 775, 1085, 2325, 3255, 5425

Step-4: Factors of 16282

List of positive integer factors of 16282 that divides 16275 without a remainder.

1, 2, 7, 14, 1163, 2326, 8141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16275 and 16282. The biggest common factor number is the GCF number.
So the greatest common factor 16275 and 16282 is 7.

Also check out the Least Common Multiple of 16275 and 16282