What is the Greatest Common Factor of 20910 and 20927?

Greatest common factor (GCF) of 20910 and 20927 is 17.

GCF(20910,20927) = 17

We will now calculate the prime factors of 20910 and 20927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20910 and 20927.

How to find the GCF of 20910 and 20927?

We will first find the prime factorization of 20910 and 20927. After we will calculate the factors of 20910 and 20927 and find the biggest common factor number .

Step-1: Prime Factorization of 20910

Prime factors of 20910 are 2, 3, 5, 17, 41. Prime factorization of 20910 in exponential form is:

20910 = 2¹ × 3¹ × 5¹ × 17¹ × 41¹

Step-2: Prime Factorization of 20927

Prime factors of 20927 are 17, 1231. Prime factorization of 20927 in exponential form is:

20927 = 17¹ × 1231¹

Step-3: Factors of 20910

List of positive integer factors of 20910 that divides 20910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 41, 51, 82, 85, 102, 123, 170, 205, 246, 255, 410, 510, 615, 697, 1230, 1394, 2091, 3485, 4182, 6970, 10455

Step-4: Factors of 20927

List of positive integer factors of 20927 that divides 20910 without a remainder.

1, 17, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20910 and 20927. The biggest common factor number is the GCF number.
So the greatest common factor 20910 and 20927 is 17.

Also check out the Least Common Multiple of 20910 and 20927