What is the Greatest Common Factor of 16920 and 16935?

Greatest common factor (GCF) of 16920 and 16935 is 15.

GCF(16920,16935) = 15

We will now calculate the prime factors of 16920 and 16935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16920 and 16935.

How to find the GCF of 16920 and 16935?

We will first find the prime factorization of 16920 and 16935. After we will calculate the factors of 16920 and 16935 and find the biggest common factor number .

Step-1: Prime Factorization of 16920

Prime factors of 16920 are 2, 3, 5, 47. Prime factorization of 16920 in exponential form is:

16920 = 2³ × 3² × 5¹ × 47¹

Step-2: Prime Factorization of 16935

Prime factors of 16935 are 3, 5, 1129. Prime factorization of 16935 in exponential form is:

16935 = 3¹ × 5¹ × 1129¹

Step-3: Factors of 16920

List of positive integer factors of 16920 that divides 16920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 47, 60, 72, 90, 94, 120, 141, 180, 188, 235, 282, 360, 376, 423, 470, 564, 705, 846, 940, 1128, 1410, 1692, 1880, 2115, 2820, 3384, 4230, 5640, 8460

Step-4: Factors of 16935

List of positive integer factors of 16935 that divides 16920 without a remainder.

1, 3, 5, 15, 1129, 3387, 5645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16920 and 16935. The biggest common factor number is the GCF number.
So the greatest common factor 16920 and 16935 is 15.

Also check out the Least Common Multiple of 16920 and 16935