What is the Greatest Common Factor of 80248 and 80259?

Greatest common factor (GCF) of 80248 and 80259 is 1.

GCF(80248,80259) = 1

We will now calculate the prime factors of 80248 and 80259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80248 and 80259.

How to find the GCF of 80248 and 80259?

We will first find the prime factorization of 80248 and 80259. After we will calculate the factors of 80248 and 80259 and find the biggest common factor number .

Step-1: Prime Factorization of 80248

Prime factors of 80248 are 2, 7, 1433. Prime factorization of 80248 in exponential form is:

80248 = 2³ × 7¹ × 1433¹

Step-2: Prime Factorization of 80259

Prime factors of 80259 are 3, 31, 863. Prime factorization of 80259 in exponential form is:

80259 = 3¹ × 31¹ × 863¹

Step-3: Factors of 80248

List of positive integer factors of 80248 that divides 80248 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1433, 2866, 5732, 10031, 11464, 20062, 40124

Step-4: Factors of 80259

List of positive integer factors of 80259 that divides 80248 without a remainder.

1, 3, 31, 93, 863, 2589, 26753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80248 and 80259. The biggest common factor number is the GCF number.
So the greatest common factor 80248 and 80259 is 1.

Also check out the Least Common Multiple of 80248 and 80259