What is the Greatest Common Factor of 28262 and 28275?

Greatest common factor (GCF) of 28262 and 28275 is 13.

GCF(28262,28275) = 13

We will now calculate the prime factors of 28262 and 28275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28262 and 28275.

How to find the GCF of 28262 and 28275?

We will first find the prime factorization of 28262 and 28275. After we will calculate the factors of 28262 and 28275 and find the biggest common factor number .

Step-1: Prime Factorization of 28262

Prime factors of 28262 are 2, 13, 1087. Prime factorization of 28262 in exponential form is:

28262 = 2¹ × 13¹ × 1087¹

Step-2: Prime Factorization of 28275

Prime factors of 28275 are 3, 5, 13, 29. Prime factorization of 28275 in exponential form is:

28275 = 3¹ × 5² × 13¹ × 29¹

Step-3: Factors of 28262

List of positive integer factors of 28262 that divides 28262 without a remainder.

1, 2, 13, 26, 1087, 2174, 14131

Step-4: Factors of 28275

List of positive integer factors of 28275 that divides 28262 without a remainder.

1, 3, 5, 13, 15, 25, 29, 39, 65, 75, 87, 145, 195, 325, 377, 435, 725, 975, 1131, 1885, 2175, 5655, 9425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28262 and 28275. The biggest common factor number is the GCF number.
So the greatest common factor 28262 and 28275 is 13.

Also check out the Least Common Multiple of 28262 and 28275