What is the Greatest Common Factor of 80448 and 80457?

Greatest common factor (GCF) of 80448 and 80457 is 3.

GCF(80448,80457) = 3

We will now calculate the prime factors of 80448 and 80457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80448 and 80457.

How to find the GCF of 80448 and 80457?

We will first find the prime factorization of 80448 and 80457. After we will calculate the factors of 80448 and 80457 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 80457

Prime factors of 80457 are 3, 13, 2063. Prime factorization of 80457 in exponential form is:

80457 = 3¹ × 13¹ × 2063¹

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 80457

List of positive integer factors of 80457 that divides 80448 without a remainder.

1, 3, 13, 39, 2063, 6189, 26819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80448 and 80457. The biggest common factor number is the GCF number.
So the greatest common factor 80448 and 80457 is 3.

Also check out the Least Common Multiple of 80448 and 80457