What is the Greatest Common Factor of 80448 and 80459?

Greatest common factor (GCF) of 80448 and 80459 is 1.

GCF(80448,80459) = 1

We will now calculate the prime factors of 80448 and 80459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80448 and 80459.

How to find the GCF of 80448 and 80459?

We will first find the prime factorization of 80448 and 80459. After we will calculate the factors of 80448 and 80459 and find the biggest common factor number .

Step-1: Prime Factorization of 80448

Prime factors of 80448 are 2, 3, 419. Prime factorization of 80448 in exponential form is:

80448 = 2⁶ × 3¹ × 419¹

Step-2: Prime Factorization of 80459

Prime factors of 80459 are 61, 1319. Prime factorization of 80459 in exponential form is:

80459 = 61¹ × 1319¹

Step-3: Factors of 80448

List of positive integer factors of 80448 that divides 80448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 419, 838, 1257, 1676, 2514, 3352, 5028, 6704, 10056, 13408, 20112, 26816, 40224

Step-4: Factors of 80459

List of positive integer factors of 80459 that divides 80448 without a remainder.

1, 61, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80448 and 80459. The biggest common factor number is the GCF number.
So the greatest common factor 80448 and 80459 is 1.

Also check out the Least Common Multiple of 80448 and 80459