What is the Greatest Common Factor of 8249 and 8263?

Greatest common factor (GCF) of 8249 and 8263 is 1.

GCF(8249,8263) = 1

We will now calculate the prime factors of 8249 and 8263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8249 and 8263.

How to find the GCF of 8249 and 8263?

We will first find the prime factorization of 8249 and 8263. After we will calculate the factors of 8249 and 8263 and find the biggest common factor number .

Step-1: Prime Factorization of 8249

Prime factors of 8249 are 73, 113. Prime factorization of 8249 in exponential form is:

8249 = 73¹ × 113¹

Step-2: Prime Factorization of 8263

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 8263¹

Step-3: Factors of 8249

List of positive integer factors of 8249 that divides 8249 without a remainder.

1, 73, 113

Step-4: Factors of 8263

List of positive integer factors of 8263 that divides 8249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8249 and 8263. The biggest common factor number is the GCF number.
So the greatest common factor 8249 and 8263 is 1.

Also check out the Least Common Multiple of 8249 and 8263