What is the Greatest Common Factor of 40490 and 40498?

Greatest common factor (GCF) of 40490 and 40498 is 2.

GCF(40490,40498) = 2

We will now calculate the prime factors of 40490 and 40498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40490 and 40498.

How to find the GCF of 40490 and 40498?

We will first find the prime factorization of 40490 and 40498. After we will calculate the factors of 40490 and 40498 and find the biggest common factor number .

Step-1: Prime Factorization of 40490

Prime factors of 40490 are 2, 5, 4049. Prime factorization of 40490 in exponential form is:

40490 = 2¹ × 5¹ × 4049¹

Step-2: Prime Factorization of 40498

Prime factors of 40498 are 2, 20249. Prime factorization of 40498 in exponential form is:

40498 = 2¹ × 20249¹

Step-3: Factors of 40490

List of positive integer factors of 40490 that divides 40490 without a remainder.

1, 2, 5, 10, 4049, 8098, 20245

Step-4: Factors of 40498

List of positive integer factors of 40498 that divides 40490 without a remainder.

1, 2, 20249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40490 and 40498. The biggest common factor number is the GCF number.
So the greatest common factor 40490 and 40498 is 2.

Also check out the Least Common Multiple of 40490 and 40498