What is the Greatest Common Factor of 40498 and 40510?

Greatest common factor (GCF) of 40498 and 40510 is 2.

GCF(40498,40510) = 2

We will now calculate the prime factors of 40498 and 40510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40498 and 40510.

How to find the GCF of 40498 and 40510?

We will first find the prime factorization of 40498 and 40510. After we will calculate the factors of 40498 and 40510 and find the biggest common factor number .

Step-1: Prime Factorization of 40498

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

40498 = 2¹ × 20249¹

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 40498

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

1, 2, 20249

Step-4: Factors of 40510

List of positive integer factors of 40510 that divides 40498 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40498 and 40510. The biggest common factor number is the GCF number.
So the greatest common factor 40498 and 40510 is 2.

Also check out the Least Common Multiple of 40498 and 40510