What is the Greatest Common Factor of 39946 and 39960?

Greatest common factor (GCF) of 39946 and 39960 is 2.

GCF(39946,39960) = 2

We will now calculate the prime factors of 39946 and 39960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39946 and 39960.

How to find the GCF of 39946 and 39960?

We will first find the prime factorization of 39946 and 39960. After we will calculate the factors of 39946 and 39960 and find the biggest common factor number .

Step-1: Prime Factorization of 39946

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

39946 = 2¹ × 19973¹

Step-2: Prime Factorization of 39960

Prime factors of 39960 are 2, 3, 5, 37. Prime factorization of 39960 in exponential form is:

39960 = 2³ × 3³ × 5¹ × 37¹

Step-3: Factors of 39946

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

1, 2, 19973

Step-4: Factors of 39960

List of positive integer factors of 39960 that divides 39946 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 37, 40, 45, 54, 60, 72, 74, 90, 108, 111, 120, 135, 148, 180, 185, 216, 222, 270, 296, 333, 360, 370, 444, 540, 555, 666, 740, 888, 999, 1080, 1110, 1332, 1480, 1665, 1998, 2220, 2664, 3330, 3996, 4440, 4995, 6660, 7992, 9990, 13320, 19980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39946 and 39960. The biggest common factor number is the GCF number.
So the greatest common factor 39946 and 39960 is 2.

Also check out the Least Common Multiple of 39946 and 39960