What is the Greatest Common Factor of 19950 and 19966?

Greatest common factor (GCF) of 19950 and 19966 is 2.

GCF(19950,19966) = 2

We will now calculate the prime factors of 19950 and 19966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19950 and 19966.

How to find the GCF of 19950 and 19966?

We will first find the prime factorization of 19950 and 19966. After we will calculate the factors of 19950 and 19966 and find the biggest common factor number .

Step-1: Prime Factorization of 19950

Prime factors of 19950 are 2, 3, 5, 7, 19. Prime factorization of 19950 in exponential form is:

19950 = 2¹ × 3¹ × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 19966

Prime factors of 19966 are 2, 67, 149. Prime factorization of 19966 in exponential form is:

19966 = 2¹ × 67¹ × 149¹

Step-3: Factors of 19950

List of positive integer factors of 19950 that divides 19950 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 25, 30, 35, 38, 42, 50, 57, 70, 75, 95, 105, 114, 133, 150, 175, 190, 210, 266, 285, 350, 399, 475, 525, 570, 665, 798, 950, 1050, 1330, 1425, 1995, 2850, 3325, 3990, 6650, 9975

Step-4: Factors of 19966

List of positive integer factors of 19966 that divides 19950 without a remainder.

1, 2, 67, 134, 149, 298, 9983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19950 and 19966. The biggest common factor number is the GCF number.
So the greatest common factor 19950 and 19966 is 2.

Also check out the Least Common Multiple of 19950 and 19966