What is the Greatest Common Factor of 80448 and 80464?

Greatest common factor (GCF) of 80448 and 80464 is 16.

GCF(80448,80464) = 16

We will now calculate the prime factors of 80448 and 80464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80448 and 80464.

How to find the GCF of 80448 and 80464?

We will first find the prime factorization of 80448 and 80464. After we will calculate the factors of 80448 and 80464 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 80464

Prime factors of 80464 are 2, 47, 107. Prime factorization of 80464 in exponential form is:

80464 = 2⁴ × 47¹ × 107¹

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 80464

List of positive integer factors of 80464 that divides 80448 without a remainder.

1, 2, 4, 8, 16, 47, 94, 107, 188, 214, 376, 428, 752, 856, 1712, 5029, 10058, 20116, 40232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80448 and 80464. The biggest common factor number is the GCF number.
So the greatest common factor 80448 and 80464 is 16.

Also check out the Least Common Multiple of 80448 and 80464