What is the Greatest Common Factor of 21015 and 21030?

Greatest common factor (GCF) of 21015 and 21030 is 15.

GCF(21015,21030) = 15

We will now calculate the prime factors of 21015 and 21030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21015 and 21030.

How to find the GCF of 21015 and 21030?

We will first find the prime factorization of 21015 and 21030. After we will calculate the factors of 21015 and 21030 and find the biggest common factor number .

Step-1: Prime Factorization of 21015

Prime factors of 21015 are 3, 5, 467. Prime factorization of 21015 in exponential form is:

21015 = 3² × 5¹ × 467¹

Step-2: Prime Factorization of 21030

Prime factors of 21030 are 2, 3, 5, 701. Prime factorization of 21030 in exponential form is:

21030 = 2¹ × 3¹ × 5¹ × 701¹

Step-3: Factors of 21015

List of positive integer factors of 21015 that divides 21015 without a remainder.

1, 3, 5, 9, 15, 45, 467, 1401, 2335, 4203, 7005

Step-4: Factors of 21030

List of positive integer factors of 21030 that divides 21015 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 701, 1402, 2103, 3505, 4206, 7010, 10515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21015 and 21030. The biggest common factor number is the GCF number.
So the greatest common factor 21015 and 21030 is 15.

Also check out the Least Common Multiple of 21015 and 21030