What is the Greatest Common Factor of 20895 and 20904?

Greatest common factor (GCF) of 20895 and 20904 is 3.

GCF(20895,20904) = 3

We will now calculate the prime factors of 20895 and 20904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20895 and 20904.

How to find the GCF of 20895 and 20904?

We will first find the prime factorization of 20895 and 20904. After we will calculate the factors of 20895 and 20904 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 20904

Prime factors of 20904 are 2, 3, 13, 67. Prime factorization of 20904 in exponential form is:

20904 = 2³ × 3¹ × 13¹ × 67¹

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 20904

List of positive integer factors of 20904 that divides 20895 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 67, 78, 104, 134, 156, 201, 268, 312, 402, 536, 804, 871, 1608, 1742, 2613, 3484, 5226, 6968, 10452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20895 and 20904. The biggest common factor number is the GCF number.
So the greatest common factor 20895 and 20904 is 3.

Also check out the Least Common Multiple of 20895 and 20904