What is the Greatest Common Factor of 40480 and 40496?

Greatest common factor (GCF) of 40480 and 40496 is 16.

GCF(40480,40496) = 16

We will now calculate the prime factors of 40480 and 40496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40480 and 40496.

How to find the GCF of 40480 and 40496?

We will first find the prime factorization of 40480 and 40496. After we will calculate the factors of 40480 and 40496 and find the biggest common factor number .

Step-1: Prime Factorization of 40480

Prime factors of 40480 are 2, 5, 11, 23. Prime factorization of 40480 in exponential form is:

40480 = 2⁵ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 40496

Prime factors of 40496 are 2, 2531. Prime factorization of 40496 in exponential form is:

40496 = 2⁴ × 2531¹

Step-3: Factors of 40480

List of positive integer factors of 40480 that divides 40480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240

Step-4: Factors of 40496

List of positive integer factors of 40496 that divides 40480 without a remainder.

1, 2, 4, 8, 16, 2531, 5062, 10124, 20248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40480 and 40496. The biggest common factor number is the GCF number.
So the greatest common factor 40480 and 40496 is 16.

Also check out the Least Common Multiple of 40480 and 40496