What is the Greatest Common Factor of 28275 and 28285?

Greatest common factor (GCF) of 28275 and 28285 is 5.

GCF(28275,28285) = 5

We will now calculate the prime factors of 28275 and 28285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28275 and 28285.

How to find the GCF of 28275 and 28285?

We will first find the prime factorization of 28275 and 28285. After we will calculate the factors of 28275 and 28285 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28285

Prime factors of 28285 are 5, 5657. Prime factorization of 28285 in exponential form is:

28285 = 5¹ × 5657¹

Step-3: Factors of 28275

List of positive integer factors of 28275 that divides 28275 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

Step-4: Factors of 28285

List of positive integer factors of 28285 that divides 28275 without a remainder.

1, 5, 5657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28275 and 28285. The biggest common factor number is the GCF number.
So the greatest common factor 28275 and 28285 is 5.

Also check out the Least Common Multiple of 28275 and 28285