What is the Greatest Common Factor of 40885 and 40898?

Greatest common factor (GCF) of 40885 and 40898 is 13.

GCF(40885,40898) = 13

We will now calculate the prime factors of 40885 and 40898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40885 and 40898.

How to find the GCF of 40885 and 40898?

We will first find the prime factorization of 40885 and 40898. After we will calculate the factors of 40885 and 40898 and find the biggest common factor number .

Step-1: Prime Factorization of 40885

Prime factors of 40885 are 5, 13, 17, 37. Prime factorization of 40885 in exponential form is:

40885 = 5¹ × 13¹ × 17¹ × 37¹

Step-2: Prime Factorization of 40898

Prime factors of 40898 are 2, 11, 13. Prime factorization of 40898 in exponential form is:

40898 = 2¹ × 11² × 13²

Step-3: Factors of 40885

List of positive integer factors of 40885 that divides 40885 without a remainder.

1, 5, 13, 17, 37, 65, 85, 185, 221, 481, 629, 1105, 2405, 3145, 8177

Step-4: Factors of 40898

List of positive integer factors of 40898 that divides 40885 without a remainder.

1, 2, 11, 13, 22, 26, 121, 143, 169, 242, 286, 338, 1573, 1859, 3146, 3718, 20449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40885 and 40898. The biggest common factor number is the GCF number.
So the greatest common factor 40885 and 40898 is 13.

Also check out the Least Common Multiple of 40885 and 40898