What is the Greatest Common Factor of 28249 and 28254?

Greatest common factor (GCF) of 28249 and 28254 is 1.

GCF(28249,28254) = 1

We will now calculate the prime factors of 28249 and 28254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28249 and 28254.

How to find the GCF of 28249 and 28254?

We will first find the prime factorization of 28249 and 28254. After we will calculate the factors of 28249 and 28254 and find the biggest common factor number .

Step-1: Prime Factorization of 28249

Prime factors of 28249 are 13, 41, 53. Prime factorization of 28249 in exponential form is:

28249 = 13¹ × 41¹ × 53¹

Step-2: Prime Factorization of 28254

Prime factors of 28254 are 2, 3, 17, 277. Prime factorization of 28254 in exponential form is:

28254 = 2¹ × 3¹ × 17¹ × 277¹

Step-3: Factors of 28249

List of positive integer factors of 28249 that divides 28249 without a remainder.

1, 13, 41, 53, 533, 689, 2173

Step-4: Factors of 28254

List of positive integer factors of 28254 that divides 28249 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 277, 554, 831, 1662, 4709, 9418, 14127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28249 and 28254. The biggest common factor number is the GCF number.
So the greatest common factor 28249 and 28254 is 1.

Also check out the Least Common Multiple of 28249 and 28254