What is the Greatest Common Factor of 40490 and 40510?

Greatest common factor (GCF) of 40490 and 40510 is 10.

GCF(40490,40510) = 10

We will now calculate the prime factors of 40490 and 40510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40490 and 40510.

How to find the GCF of 40490 and 40510?

We will first find the prime factorization of 40490 and 40510. After we will calculate the factors of 40490 and 40510 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 40510

Prime factors of 40510 are 2, 5, 4051. Prime factorization of 40510 in exponential form is:

40510 = 2¹ × 5¹ × 4051¹

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 40510

List of positive integer factors of 40510 that divides 40490 without a remainder.

1, 2, 5, 10, 4051, 8102, 20255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40490 and 40510. The biggest common factor number is the GCF number.
So the greatest common factor 40490 and 40510 is 10.

Also check out the Least Common Multiple of 40490 and 40510