What is the Greatest Common Factor of 20995 and 21015?

Greatest common factor (GCF) of 20995 and 21015 is 5.

GCF(20995,21015) = 5

We will now calculate the prime factors of 20995 and 21015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20995 and 21015.

How to find the GCF of 20995 and 21015?

We will first find the prime factorization of 20995 and 21015. After we will calculate the factors of 20995 and 21015 and find the biggest common factor number .

Step-1: Prime Factorization of 20995

Prime factors of 20995 are 5, 13, 17, 19. Prime factorization of 20995 in exponential form is:

20995 = 5¹ × 13¹ × 17¹ × 19¹

Step-2: 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-3: Factors of 20995

List of positive integer factors of 20995 that divides 20995 without a remainder.

1, 5, 13, 17, 19, 65, 85, 95, 221, 247, 323, 1105, 1235, 1615, 4199

Step-4: Factors of 21015

List of positive integer factors of 21015 that divides 20995 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20995 and 21015. The biggest common factor number is the GCF number.
So the greatest common factor 20995 and 21015 is 5.

Also check out the Least Common Multiple of 20995 and 21015