What is the Greatest Common Factor of 20890 and 20895?

Greatest common factor (GCF) of 20890 and 20895 is 5.

GCF(20890,20895) = 5

We will now calculate the prime factors of 20890 and 20895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20890 and 20895.

How to find the GCF of 20890 and 20895?

We will first find the prime factorization of 20890 and 20895. After we will calculate the factors of 20890 and 20895 and find the biggest common factor number .

Step-1: Prime Factorization of 20890

Prime factors of 20890 are 2, 5, 2089. Prime factorization of 20890 in exponential form is:

20890 = 2¹ × 5¹ × 2089¹

Step-2: 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-3: Factors of 20890

List of positive integer factors of 20890 that divides 20890 without a remainder.

1, 2, 5, 10, 2089, 4178, 10445

Step-4: Factors of 20895

List of positive integer factors of 20895 that divides 20890 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20890 and 20895. The biggest common factor number is the GCF number.
So the greatest common factor 20890 and 20895 is 5.

Also check out the Least Common Multiple of 20890 and 20895