What is the Greatest Common Factor of 19950 and 19960?

Greatest common factor (GCF) of 19950 and 19960 is 10.

GCF(19950,19960) = 10

We will now calculate the prime factors of 19950 and 19960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19950 and 19960.

How to find the GCF of 19950 and 19960?

We will first find the prime factorization of 19950 and 19960. After we will calculate the factors of 19950 and 19960 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 19960

Prime factors of 19960 are 2, 5, 499. Prime factorization of 19960 in exponential form is:

19960 = 2³ × 5¹ × 499¹

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 19960

List of positive integer factors of 19960 that divides 19950 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 499, 998, 1996, 2495, 3992, 4990, 9980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19950 and 19960. The biggest common factor number is the GCF number.
So the greatest common factor 19950 and 19960 is 10.

Also check out the Least Common Multiple of 19950 and 19960