What is the Greatest Common Factor of 19920 and 19935?

Greatest common factor (GCF) of 19920 and 19935 is 15.

GCF(19920,19935) = 15

We will now calculate the prime factors of 19920 and 19935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19920 and 19935.

How to find the GCF of 19920 and 19935?

We will first find the prime factorization of 19920 and 19935. After we will calculate the factors of 19920 and 19935 and find the biggest common factor number .

Step-1: Prime Factorization of 19920

Prime factors of 19920 are 2, 3, 5, 83. Prime factorization of 19920 in exponential form is:

19920 = 2⁴ × 3¹ × 5¹ × 83¹

Step-2: Prime Factorization of 19935

Prime factors of 19935 are 3, 5, 443. Prime factorization of 19935 in exponential form is:

19935 = 3² × 5¹ × 443¹

Step-3: Factors of 19920

List of positive integer factors of 19920 that divides 19920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 83, 120, 166, 240, 249, 332, 415, 498, 664, 830, 996, 1245, 1328, 1660, 1992, 2490, 3320, 3984, 4980, 6640, 9960

Step-4: Factors of 19935

List of positive integer factors of 19935 that divides 19920 without a remainder.

1, 3, 5, 9, 15, 45, 443, 1329, 2215, 3987, 6645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19920 and 19935. The biggest common factor number is the GCF number.
So the greatest common factor 19920 and 19935 is 15.

Also check out the Least Common Multiple of 19920 and 19935