What is the Greatest Common Factor of 39946 and 39950?

Greatest common factor (GCF) of 39946 and 39950 is 2.

GCF(39946,39950) = 2

We will now calculate the prime factors of 39946 and 39950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39946 and 39950.

How to find the GCF of 39946 and 39950?

We will first find the prime factorization of 39946 and 39950. After we will calculate the factors of 39946 and 39950 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 39950

Prime factors of 39950 are 2, 5, 17, 47. Prime factorization of 39950 in exponential form is:

39950 = 2¹ × 5² × 17¹ × 47¹

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 39950

List of positive integer factors of 39950 that divides 39946 without a remainder.

1, 2, 5, 10, 17, 25, 34, 47, 50, 85, 94, 170, 235, 425, 470, 799, 850, 1175, 1598, 2350, 3995, 7990, 19975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39946 and 39950. The biggest common factor number is the GCF number.
So the greatest common factor 39946 and 39950 is 2.

Also check out the Least Common Multiple of 39946 and 39950