What is the Greatest Common Factor of 40290 and 40310?

Greatest common factor (GCF) of 40290 and 40310 is 10.

GCF(40290,40310) = 10

We will now calculate the prime factors of 40290 and 40310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40290 and 40310.

How to find the GCF of 40290 and 40310?

We will first find the prime factorization of 40290 and 40310. After we will calculate the factors of 40290 and 40310 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40310

Prime factors of 40310 are 2, 5, 29, 139. Prime factorization of 40310 in exponential form is:

40310 = 2¹ × 5¹ × 29¹ × 139¹

Step-3: Factors of 40290

List of positive integer factors of 40290 that divides 40290 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

Step-4: Factors of 40310

List of positive integer factors of 40310 that divides 40290 without a remainder.

1, 2, 5, 10, 29, 58, 139, 145, 278, 290, 695, 1390, 4031, 8062, 20155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40290 and 40310. The biggest common factor number is the GCF number.
So the greatest common factor 40290 and 40310 is 10.

Also check out the Least Common Multiple of 40290 and 40310