What is the Greatest Common Factor of 80448 and 80454?

Greatest common factor (GCF) of 80448 and 80454 is 6.

GCF(80448,80454) = 6

We will now calculate the prime factors of 80448 and 80454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80448 and 80454.

How to find the GCF of 80448 and 80454?

We will first find the prime factorization of 80448 and 80454. After we will calculate the factors of 80448 and 80454 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 80454

Prime factors of 80454 are 2, 3, 11, 23, 53. Prime factorization of 80454 in exponential form is:

80454 = 2¹ × 3¹ × 11¹ × 23¹ × 53¹

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 80454

List of positive integer factors of 80454 that divides 80448 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 53, 66, 69, 106, 138, 159, 253, 318, 506, 583, 759, 1166, 1219, 1518, 1749, 2438, 3498, 3657, 7314, 13409, 26818, 40227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80448 and 80454. The biggest common factor number is the GCF number.
So the greatest common factor 80448 and 80454 is 6.

Also check out the Least Common Multiple of 80448 and 80454