What is the Greatest Common Factor of 40275 and 40280?

Greatest common factor (GCF) of 40275 and 40280 is 5.

GCF(40275,40280) = 5

We will now calculate the prime factors of 40275 and 40280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40275 and 40280.

How to find the GCF of 40275 and 40280?

We will first find the prime factorization of 40275 and 40280. After we will calculate the factors of 40275 and 40280 and find the biggest common factor number .

Step-1: Prime Factorization of 40275

Prime factors of 40275 are 3, 5, 179. Prime factorization of 40275 in exponential form is:

40275 = 3² × 5² × 179¹

Step-2: Prime Factorization of 40280

Prime factors of 40280 are 2, 5, 19, 53. Prime factorization of 40280 in exponential form is:

40280 = 2³ × 5¹ × 19¹ × 53¹

Step-3: Factors of 40275

List of positive integer factors of 40275 that divides 40275 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 179, 225, 537, 895, 1611, 2685, 4475, 8055, 13425

Step-4: Factors of 40280

List of positive integer factors of 40280 that divides 40275 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 53, 76, 95, 106, 152, 190, 212, 265, 380, 424, 530, 760, 1007, 1060, 2014, 2120, 4028, 5035, 8056, 10070, 20140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40275 and 40280. The biggest common factor number is the GCF number.
So the greatest common factor 40275 and 40280 is 5.

Also check out the Least Common Multiple of 40275 and 40280