What is the Greatest Common Factor of 16275 and 16292?

Greatest common factor (GCF) of 16275 and 16292 is 1.

GCF(16275,16292) = 1

We will now calculate the prime factors of 16275 and 16292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16275 and 16292.

How to find the GCF of 16275 and 16292?

We will first find the prime factorization of 16275 and 16292. After we will calculate the factors of 16275 and 16292 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 16292

Prime factors of 16292 are 2, 4073. Prime factorization of 16292 in exponential form is:

16292 = 2² × 4073¹

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 16292

List of positive integer factors of 16292 that divides 16275 without a remainder.

1, 2, 4, 4073, 8146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16275 and 16292. The biggest common factor number is the GCF number.
So the greatest common factor 16275 and 16292 is 1.

Also check out the Least Common Multiple of 16275 and 16292