What is the Greatest Common Factor of 16620 and 16630?

Greatest common factor (GCF) of 16620 and 16630 is 10.

GCF(16620,16630) = 10

We will now calculate the prime factors of 16620 and 16630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16620 and 16630.

How to find the GCF of 16620 and 16630?

We will first find the prime factorization of 16620 and 16630. After we will calculate the factors of 16620 and 16630 and find the biggest common factor number .

Step-1: Prime Factorization of 16620

Prime factors of 16620 are 2, 3, 5, 277. Prime factorization of 16620 in exponential form is:

16620 = 2² × 3¹ × 5¹ × 277¹

Step-2: Prime Factorization of 16630

Prime factors of 16630 are 2, 5, 1663. Prime factorization of 16630 in exponential form is:

16630 = 2¹ × 5¹ × 1663¹

Step-3: Factors of 16620

List of positive integer factors of 16620 that divides 16620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 277, 554, 831, 1108, 1385, 1662, 2770, 3324, 4155, 5540, 8310

Step-4: Factors of 16630

List of positive integer factors of 16630 that divides 16620 without a remainder.

1, 2, 5, 10, 1663, 3326, 8315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16620 and 16630. The biggest common factor number is the GCF number.
So the greatest common factor 16620 and 16630 is 10.

Also check out the Least Common Multiple of 16620 and 16630