What is the Greatest Common Factor of 39930 and 39946?

Greatest common factor (GCF) of 39930 and 39946 is 2.

GCF(39930,39946) = 2

We will now calculate the prime factors of 39930 and 39946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39930 and 39946.

How to find the GCF of 39930 and 39946?

We will first find the prime factorization of 39930 and 39946. After we will calculate the factors of 39930 and 39946 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39946

Prime factors of 39946 are 2, 19973. Prime factorization of 39946 in exponential form is:

39946 = 2¹ × 19973¹

Step-3: Factors of 39930

List of positive integer factors of 39930 that divides 39930 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

Step-4: Factors of 39946

List of positive integer factors of 39946 that divides 39930 without a remainder.

1, 2, 19973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39930 and 39946. The biggest common factor number is the GCF number.
So the greatest common factor 39930 and 39946 is 2.

Also check out the Least Common Multiple of 39930 and 39946