What is the Greatest Common Factor of 16914 and 16920?

Greatest common factor (GCF) of 16914 and 16920 is 6.

GCF(16914,16920) = 6

We will now calculate the prime factors of 16914 and 16920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16914 and 16920.

How to find the GCF of 16914 and 16920?

We will first find the prime factorization of 16914 and 16920. After we will calculate the factors of 16914 and 16920 and find the biggest common factor number .

Step-1: Prime Factorization of 16914

Prime factors of 16914 are 2, 3, 2819. Prime factorization of 16914 in exponential form is:

16914 = 2¹ × 3¹ × 2819¹

Step-2: 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-3: Factors of 16914

List of positive integer factors of 16914 that divides 16914 without a remainder.

1, 2, 3, 6, 2819, 5638, 8457

Step-4: Factors of 16920

List of positive integer factors of 16920 that divides 16914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16914 and 16920. The biggest common factor number is the GCF number.
So the greatest common factor 16914 and 16920 is 6.

Also check out the Least Common Multiple of 16914 and 16920