What is the Greatest Common Factor of 19930 and 19950?

Greatest common factor (GCF) of 19930 and 19950 is 10.

GCF(19930,19950) = 10

We will now calculate the prime factors of 19930 and 19950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19930 and 19950.

How to find the GCF of 19930 and 19950?

We will first find the prime factorization of 19930 and 19950. After we will calculate the factors of 19930 and 19950 and find the biggest common factor number .

Step-1: Prime Factorization of 19930

Prime factors of 19930 are 2, 5, 1993. Prime factorization of 19930 in exponential form is:

19930 = 2¹ × 5¹ × 1993¹

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 19930

List of positive integer factors of 19930 that divides 19930 without a remainder.

1, 2, 5, 10, 1993, 3986, 9965

Step-4: Factors of 19950

List of positive integer factors of 19950 that divides 19930 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 19930 and 19950. The biggest common factor number is the GCF number.
So the greatest common factor 19930 and 19950 is 10.

Also check out the Least Common Multiple of 19930 and 19950