What is the Greatest Common Factor of 20610 and 20628?

Greatest common factor (GCF) of 20610 and 20628 is 18.

GCF(20610,20628) = 18

We will now calculate the prime factors of 20610 and 20628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20610 and 20628.

How to find the GCF of 20610 and 20628?

We will first find the prime factorization of 20610 and 20628. After we will calculate the factors of 20610 and 20628 and find the biggest common factor number .

Step-1: Prime Factorization of 20610

Prime factors of 20610 are 2, 3, 5, 229. Prime factorization of 20610 in exponential form is:

20610 = 2¹ × 3² × 5¹ × 229¹

Step-2: Prime Factorization of 20628

Prime factors of 20628 are 2, 3, 191. Prime factorization of 20628 in exponential form is:

20628 = 2² × 3³ × 191¹

Step-3: Factors of 20610

List of positive integer factors of 20610 that divides 20610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 229, 458, 687, 1145, 1374, 2061, 2290, 3435, 4122, 6870, 10305

Step-4: Factors of 20628

List of positive integer factors of 20628 that divides 20610 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 5157, 6876, 10314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20610 and 20628. The biggest common factor number is the GCF number.
So the greatest common factor 20610 and 20628 is 18.

Also check out the Least Common Multiple of 20610 and 20628