What is the Greatest Common Factor of 19933 and 19950?

Greatest common factor (GCF) of 19933 and 19950 is 1.

GCF(19933,19950) = 1

We will now calculate the prime factors of 19933 and 19950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19933 and 19950.

How to find the GCF of 19933 and 19950?

We will first find the prime factorization of 19933 and 19950. After we will calculate the factors of 19933 and 19950 and find the biggest common factor number .

Step-1: Prime Factorization of 19933

Prime factors of 19933 are 31, 643. Prime factorization of 19933 in exponential form is:

19933 = 31¹ × 643¹

Step-2: 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-3: Factors of 19933

List of positive integer factors of 19933 that divides 19933 without a remainder.

1, 31, 643

Step-4: Factors of 19950

List of positive integer factors of 19950 that divides 19933 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19933 and 19950. The biggest common factor number is the GCF number.
So the greatest common factor 19933 and 19950 is 1.

Also check out the Least Common Multiple of 19933 and 19950