What is the Greatest Common Factor of 52267 and 52275?

Greatest common factor (GCF) of 52267 and 52275 is 1.

GCF(52267,52275) = 1

We will now calculate the prime factors of 52267 and 52275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52267 and 52275.

How to find the GCF of 52267 and 52275?

We will first find the prime factorization of 52267 and 52275. After we will calculate the factors of 52267 and 52275 and find the biggest common factor number .

Step-1: Prime Factorization of 52267

Prime factors of 52267 are 52267. Prime factorization of 52267 in exponential form is:

52267 = 52267¹

Step-2: Prime Factorization of 52275

Prime factors of 52275 are 3, 5, 17, 41. Prime factorization of 52275 in exponential form is:

52275 = 3¹ × 5² × 17¹ × 41¹

Step-3: Factors of 52267

List of positive integer factors of 52267 that divides 52267 without a remainder.

Step-4: Factors of 52275

List of positive integer factors of 52275 that divides 52267 without a remainder.

1, 3, 5, 15, 17, 25, 41, 51, 75, 85, 123, 205, 255, 425, 615, 697, 1025, 1275, 2091, 3075, 3485, 10455, 17425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52267 and 52275. The biggest common factor number is the GCF number.
So the greatest common factor 52267 and 52275 is 1.

Also check out the Least Common Multiple of 52267 and 52275