What is the Greatest Common Factor of 8248 and 8259?

Greatest common factor (GCF) of 8248 and 8259 is 1.

GCF(8248,8259) = 1

We will now calculate the prime factors of 8248 and 8259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8248 and 8259.

How to find the GCF of 8248 and 8259?

We will first find the prime factorization of 8248 and 8259. After we will calculate the factors of 8248 and 8259 and find the biggest common factor number .

Step-1: Prime Factorization of 8248

Prime factors of 8248 are 2, 1031. Prime factorization of 8248 in exponential form is:

8248 = 2³ × 1031¹

Step-2: Prime Factorization of 8259

Prime factors of 8259 are 3, 2753. Prime factorization of 8259 in exponential form is:

8259 = 3¹ × 2753¹

Step-3: Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1, 2, 4, 8, 1031, 2062, 4124

Step-4: Factors of 8259

List of positive integer factors of 8259 that divides 8248 without a remainder.

1, 3, 2753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8248 and 8259. The biggest common factor number is the GCF number.
So the greatest common factor 8248 and 8259 is 1.

Also check out the Least Common Multiple of 8248 and 8259