What is the Greatest Common Factor of 39919 and 39930?

Greatest common factor (GCF) of 39919 and 39930 is 11.

GCF(39919,39930) = 11

We will now calculate the prime factors of 39919 and 39930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39919 and 39930.

How to find the GCF of 39919 and 39930?

We will first find the prime factorization of 39919 and 39930. After we will calculate the factors of 39919 and 39930 and find the biggest common factor number .

Step-1: Prime Factorization of 39919

Prime factors of 39919 are 11, 19, 191. Prime factorization of 39919 in exponential form is:

39919 = 11¹ × 19¹ × 191¹

Step-2: Prime Factorization of 39930

Prime factors of 39930 are 2, 3, 5, 11. Prime factorization of 39930 in exponential form is:

39930 = 2¹ × 3¹ × 5¹ × 11³

Step-3: Factors of 39919

List of positive integer factors of 39919 that divides 39919 without a remainder.

1, 11, 19, 191, 209, 2101, 3629

Step-4: Factors of 39930

List of positive integer factors of 39930 that divides 39919 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1331, 1815, 2662, 3630, 3993, 6655, 7986, 13310, 19965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39919 and 39930. The biggest common factor number is the GCF number.
So the greatest common factor 39919 and 39930 is 11.

Also check out the Least Common Multiple of 39919 and 39930