What is the Greatest Common Factor of 40475 and 40480?

Greatest common factor (GCF) of 40475 and 40480 is 5.

GCF(40475,40480) = 5

We will now calculate the prime factors of 40475 and 40480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40475 and 40480.

How to find the GCF of 40475 and 40480?

We will first find the prime factorization of 40475 and 40480. After we will calculate the factors of 40475 and 40480 and find the biggest common factor number .

Step-1: Prime Factorization of 40475

Prime factors of 40475 are 5, 1619. Prime factorization of 40475 in exponential form is:

40475 = 5² × 1619¹

Step-2: 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-3: Factors of 40475

List of positive integer factors of 40475 that divides 40475 without a remainder.

1, 5, 25, 1619, 8095

Step-4: Factors of 40480

List of positive integer factors of 40480 that divides 40475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40475 and 40480. The biggest common factor number is the GCF number.
So the greatest common factor 40475 and 40480 is 5.

Also check out the Least Common Multiple of 40475 and 40480