What is the Greatest Common Factor of 40280 and 40289?

Greatest common factor (GCF) of 40280 and 40289 is 1.

GCF(40280,40289) = 1

We will now calculate the prime factors of 40280 and 40289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40280 and 40289.

How to find the GCF of 40280 and 40289?

We will first find the prime factorization of 40280 and 40289. After we will calculate the factors of 40280 and 40289 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40289

Prime factors of 40289 are 40289. Prime factorization of 40289 in exponential form is:

40289 = 40289¹

Step-3: Factors of 40280

List of positive integer factors of 40280 that divides 40280 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

Step-4: Factors of 40289

List of positive integer factors of 40289 that divides 40280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40280 and 40289. The biggest common factor number is the GCF number.
So the greatest common factor 40280 and 40289 is 1.

Also check out the Least Common Multiple of 40280 and 40289