What is the Greatest Common Factor of 20895 and 20910?

Greatest common factor (GCF) of 20895 and 20910 is 15.

GCF(20895,20910) = 15

We will now calculate the prime factors of 20895 and 20910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20895 and 20910.

How to find the GCF of 20895 and 20910?

We will first find the prime factorization of 20895 and 20910. After we will calculate the factors of 20895 and 20910 and find the biggest common factor number .

Step-1: Prime Factorization of 20895

Prime factors of 20895 are 3, 5, 7, 199. Prime factorization of 20895 in exponential form is:

20895 = 3¹ × 5¹ × 7¹ × 199¹

Step-2: 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-3: Factors of 20895

List of positive integer factors of 20895 that divides 20895 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 199, 597, 995, 1393, 2985, 4179, 6965

Step-4: Factors of 20910

List of positive integer factors of 20910 that divides 20895 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20895 and 20910. The biggest common factor number is the GCF number.
So the greatest common factor 20895 and 20910 is 15.

Also check out the Least Common Multiple of 20895 and 20910