What is the Greatest Common Factor of 21570 and 21575?

Greatest common factor (GCF) of 21570 and 21575 is 5.

GCF(21570,21575) = 5

We will now calculate the prime factors of 21570 and 21575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21570 and 21575.

How to find the GCF of 21570 and 21575?

We will first find the prime factorization of 21570 and 21575. After we will calculate the factors of 21570 and 21575 and find the biggest common factor number .

Step-1: Prime Factorization of 21570

Prime factors of 21570 are 2, 3, 5, 719. Prime factorization of 21570 in exponential form is:

21570 = 2¹ × 3¹ × 5¹ × 719¹

Step-2: Prime Factorization of 21575

Prime factors of 21575 are 5, 863. Prime factorization of 21575 in exponential form is:

21575 = 5² × 863¹

Step-3: Factors of 21570

List of positive integer factors of 21570 that divides 21570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 719, 1438, 2157, 3595, 4314, 7190, 10785

Step-4: Factors of 21575

List of positive integer factors of 21575 that divides 21570 without a remainder.

1, 5, 25, 863, 4315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21570 and 21575. The biggest common factor number is the GCF number.
So the greatest common factor 21570 and 21575 is 5.

Also check out the Least Common Multiple of 21570 and 21575