What is the Greatest Common Factor of 21705 and 21715?

Greatest common factor (GCF) of 21705 and 21715 is 5.

GCF(21705,21715) = 5

We will now calculate the prime factors of 21705 and 21715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21705 and 21715.

How to find the GCF of 21705 and 21715?

We will first find the prime factorization of 21705 and 21715. After we will calculate the factors of 21705 and 21715 and find the biggest common factor number .

Step-1: Prime Factorization of 21705

Prime factors of 21705 are 3, 5, 1447. Prime factorization of 21705 in exponential form is:

21705 = 3¹ × 5¹ × 1447¹

Step-2: Prime Factorization of 21715

Prime factors of 21715 are 5, 43, 101. Prime factorization of 21715 in exponential form is:

21715 = 5¹ × 43¹ × 101¹

Step-3: Factors of 21705

List of positive integer factors of 21705 that divides 21705 without a remainder.

1, 3, 5, 15, 1447, 4341, 7235

Step-4: Factors of 21715

List of positive integer factors of 21715 that divides 21705 without a remainder.

1, 5, 43, 101, 215, 505, 4343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21705 and 21715. The biggest common factor number is the GCF number.
So the greatest common factor 21705 and 21715 is 5.

Also check out the Least Common Multiple of 21705 and 21715