What is the Greatest Common Factor of 28249 and 28262?

Greatest common factor (GCF) of 28249 and 28262 is 13.

GCF(28249,28262) = 13

We will now calculate the prime factors of 28249 and 28262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28249 and 28262.

How to find the GCF of 28249 and 28262?

We will first find the prime factorization of 28249 and 28262. After we will calculate the factors of 28249 and 28262 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 28262

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

28262 = 2¹ × 13¹ × 1087¹

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 28262

List of positive integer factors of 28262 that divides 28249 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28249 and 28262. The biggest common factor number is the GCF number.
So the greatest common factor 28249 and 28262 is 13.

Also check out the Least Common Multiple of 28249 and 28262