What is the Greatest Common Factor of 39886 and 39897?

Greatest common factor (GCF) of 39886 and 39897 is 11.

GCF(39886,39897) = 11

We will now calculate the prime factors of 39886 and 39897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39886 and 39897.

How to find the GCF of 39886 and 39897?

We will first find the prime factorization of 39886 and 39897. After we will calculate the factors of 39886 and 39897 and find the biggest common factor number .

Step-1: Prime Factorization of 39886

Prime factors of 39886 are 2, 7, 11, 37. Prime factorization of 39886 in exponential form is:

39886 = 2¹ × 7² × 11¹ × 37¹

Step-2: Prime Factorization of 39897

Prime factors of 39897 are 3, 11, 13, 31. Prime factorization of 39897 in exponential form is:

39897 = 3² × 11¹ × 13¹ × 31¹

Step-3: Factors of 39886

List of positive integer factors of 39886 that divides 39886 without a remainder.

1, 2, 7, 11, 14, 22, 37, 49, 74, 77, 98, 154, 259, 407, 518, 539, 814, 1078, 1813, 2849, 3626, 5698, 19943

Step-4: Factors of 39897

List of positive integer factors of 39897 that divides 39886 without a remainder.

1, 3, 9, 11, 13, 31, 33, 39, 93, 99, 117, 143, 279, 341, 403, 429, 1023, 1209, 1287, 3069, 3627, 4433, 13299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39886 and 39897. The biggest common factor number is the GCF number.
So the greatest common factor 39886 and 39897 is 11.

Also check out the Least Common Multiple of 39886 and 39897