What is the Greatest Common Factor of 40280 and 40290?

Greatest common factor (GCF) of 40280 and 40290 is 10.

GCF(40280,40290) = 10

We will now calculate the prime factors of 40280 and 40290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40280 and 40290.

How to find the GCF of 40280 and 40290?

We will first find the prime factorization of 40280 and 40290. After we will calculate the factors of 40280 and 40290 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 40290

Prime factors of 40290 are 2, 3, 5, 17, 79. Prime factorization of 40290 in exponential form is:

40290 = 2¹ × 3¹ × 5¹ × 17¹ × 79¹

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 40290

List of positive integer factors of 40290 that divides 40280 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 79, 85, 102, 158, 170, 237, 255, 395, 474, 510, 790, 1185, 1343, 2370, 2686, 4029, 6715, 8058, 13430, 20145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40280 and 40290. The biggest common factor number is the GCF number.
So the greatest common factor 40280 and 40290 is 10.

Also check out the Least Common Multiple of 40280 and 40290