What is the Greatest Common Factor of 19960 and 19965?

Greatest common factor (GCF) of 19960 and 19965 is 5.

GCF(19960,19965) = 5

We will now calculate the prime factors of 19960 and 19965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19960 and 19965.

How to find the GCF of 19960 and 19965?

We will first find the prime factorization of 19960 and 19965. After we will calculate the factors of 19960 and 19965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19965

Prime factors of 19965 are 3, 5, 11. Prime factorization of 19965 in exponential form is:

19965 = 3¹ × 5¹ × 11³

Step-3: Factors of 19960

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

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

Step-4: Factors of 19965

List of positive integer factors of 19965 that divides 19960 without a remainder.

1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1331, 1815, 3993, 6655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19960 and 19965. The biggest common factor number is the GCF number.
So the greatest common factor 19960 and 19965 is 5.

Also check out the Least Common Multiple of 19960 and 19965