What is the Greatest Common Factor of 21050 and 21055?

Greatest common factor (GCF) of 21050 and 21055 is 5.

GCF(21050,21055) = 5

We will now calculate the prime factors of 21050 and 21055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21050 and 21055.

How to find the GCF of 21050 and 21055?

We will first find the prime factorization of 21050 and 21055. After we will calculate the factors of 21050 and 21055 and find the biggest common factor number .

Step-1: Prime Factorization of 21050

Prime factors of 21050 are 2, 5, 421. Prime factorization of 21050 in exponential form is:

21050 = 2¹ × 5² × 421¹

Step-2: Prime Factorization of 21055

Prime factors of 21055 are 5, 4211. Prime factorization of 21055 in exponential form is:

21055 = 5¹ × 4211¹

Step-3: Factors of 21050

List of positive integer factors of 21050 that divides 21050 without a remainder.

1, 2, 5, 10, 25, 50, 421, 842, 2105, 4210, 10525

Step-4: Factors of 21055

List of positive integer factors of 21055 that divides 21050 without a remainder.

1, 5, 4211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21050 and 21055. The biggest common factor number is the GCF number.
So the greatest common factor 21050 and 21055 is 5.

Also check out the Least Common Multiple of 21050 and 21055