What is the Greatest Common Factor of 21550 and 21565?

Greatest common factor (GCF) of 21550 and 21565 is 5.

GCF(21550,21565) = 5

We will now calculate the prime factors of 21550 and 21565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21550 and 21565.

How to find the GCF of 21550 and 21565?

We will first find the prime factorization of 21550 and 21565. After we will calculate the factors of 21550 and 21565 and find the biggest common factor number .

Step-1: Prime Factorization of 21550

Prime factors of 21550 are 2, 5, 431. Prime factorization of 21550 in exponential form is:

21550 = 2¹ × 5² × 431¹

Step-2: Prime Factorization of 21565

Prime factors of 21565 are 5, 19, 227. Prime factorization of 21565 in exponential form is:

21565 = 5¹ × 19¹ × 227¹

Step-3: Factors of 21550

List of positive integer factors of 21550 that divides 21550 without a remainder.

1, 2, 5, 10, 25, 50, 431, 862, 2155, 4310, 10775

Step-4: Factors of 21565

List of positive integer factors of 21565 that divides 21550 without a remainder.

1, 5, 19, 95, 227, 1135, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21550 and 21565. The biggest common factor number is the GCF number.
So the greatest common factor 21550 and 21565 is 5.

Also check out the Least Common Multiple of 21550 and 21565