What is the Greatest Common Factor of 8249 and 8262?

Greatest common factor (GCF) of 8249 and 8262 is 1.

GCF(8249,8262) = 1

We will now calculate the prime factors of 8249 and 8262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8249 and 8262.

How to find the GCF of 8249 and 8262?

We will first find the prime factorization of 8249 and 8262. After we will calculate the factors of 8249 and 8262 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 8262

Prime factors of 8262 are 2, 3, 17. Prime factorization of 8262 in exponential form is:

8262 = 2¹ × 3⁵ × 17¹

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 8262

List of positive integer factors of 8262 that divides 8249 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8249 and 8262. The biggest common factor number is the GCF number.
So the greatest common factor 8249 and 8262 is 1.

Also check out the Least Common Multiple of 8249 and 8262