What is the Greatest Common Factor of 8249 and 8268?

Greatest common factor (GCF) of 8249 and 8268 is 1.

GCF(8249,8268) = 1

We will now calculate the prime factors of 8249 and 8268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8249 and 8268.

How to find the GCF of 8249 and 8268?

We will first find the prime factorization of 8249 and 8268. After we will calculate the factors of 8249 and 8268 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 8268

Prime factors of 8268 are 2, 3, 13, 53. Prime factorization of 8268 in exponential form is:

8268 = 2² × 3¹ × 13¹ × 53¹

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 8268

List of positive integer factors of 8268 that divides 8249 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8249 and 8268. The biggest common factor number is the GCF number.
So the greatest common factor 8249 and 8268 is 1.

Also check out the Least Common Multiple of 8249 and 8268