What is the Greatest Common Factor of 21310 and 21315?

Greatest common factor (GCF) of 21310 and 21315 is 5.

GCF(21310,21315) = 5

We will now calculate the prime factors of 21310 and 21315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21310 and 21315.

How to find the GCF of 21310 and 21315?

We will first find the prime factorization of 21310 and 21315. After we will calculate the factors of 21310 and 21315 and find the biggest common factor number .

Step-1: Prime Factorization of 21310

Prime factors of 21310 are 2, 5, 2131. Prime factorization of 21310 in exponential form is:

21310 = 2¹ × 5¹ × 2131¹

Step-2: Prime Factorization of 21315

Prime factors of 21315 are 3, 5, 7, 29. Prime factorization of 21315 in exponential form is:

21315 = 3¹ × 5¹ × 7² × 29¹

Step-3: Factors of 21310

List of positive integer factors of 21310 that divides 21310 without a remainder.

1, 2, 5, 10, 2131, 4262, 10655

Step-4: Factors of 21315

List of positive integer factors of 21315 that divides 21310 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 49, 87, 105, 145, 147, 203, 245, 435, 609, 735, 1015, 1421, 3045, 4263, 7105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21310 and 21315. The biggest common factor number is the GCF number.
So the greatest common factor 21310 and 21315 is 5.

Also check out the Least Common Multiple of 21310 and 21315