What is the Greatest Common Factor of 40448 and 40454?

Greatest common factor (GCF) of 40448 and 40454 is 2.

GCF(40448,40454) = 2

We will now calculate the prime factors of 40448 and 40454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40448 and 40454.

How to find the GCF of 40448 and 40454?

We will first find the prime factorization of 40448 and 40454. After we will calculate the factors of 40448 and 40454 and find the biggest common factor number .

Step-1: Prime Factorization of 40448

Prime factors of 40448 are 2, 79. Prime factorization of 40448 in exponential form is:

40448 = 2⁹ × 79¹

Step-2: Prime Factorization of 40454

Prime factors of 40454 are 2, 113, 179. Prime factorization of 40454 in exponential form is:

40454 = 2¹ × 113¹ × 179¹

Step-3: Factors of 40448

List of positive integer factors of 40448 that divides 40448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1264, 2528, 5056, 10112, 20224

Step-4: Factors of 40454

List of positive integer factors of 40454 that divides 40448 without a remainder.

1, 2, 113, 179, 226, 358, 20227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40448 and 40454. The biggest common factor number is the GCF number.
So the greatest common factor 40448 and 40454 is 2.

Also check out the Least Common Multiple of 40448 and 40454