What is the Greatest Common Factor of 40887 and 40898?

Greatest common factor (GCF) of 40887 and 40898 is 11.

GCF(40887,40898) = 11

We will now calculate the prime factors of 40887 and 40898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40887 and 40898.

How to find the GCF of 40887 and 40898?

We will first find the prime factorization of 40887 and 40898. After we will calculate the factors of 40887 and 40898 and find the biggest common factor number .

Step-1: Prime Factorization of 40887

Prime factors of 40887 are 3, 7, 11, 59. Prime factorization of 40887 in exponential form is:

40887 = 3² × 7¹ × 11¹ × 59¹

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 40887

List of positive integer factors of 40887 that divides 40887 without a remainder.

1, 3, 7, 9, 11, 21, 33, 59, 63, 77, 99, 177, 231, 413, 531, 649, 693, 1239, 1947, 3717, 4543, 5841, 13629

Step-4: Factors of 40898

List of positive integer factors of 40898 that divides 40887 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 40887 and 40898. The biggest common factor number is the GCF number.
So the greatest common factor 40887 and 40898 is 11.

Also check out the Least Common Multiple of 40887 and 40898