What is the Greatest Common Factor of 20995 and 21012?

Greatest common factor (GCF) of 20995 and 21012 is 17.

GCF(20995,21012) = 17

We will now calculate the prime factors of 20995 and 21012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20995 and 21012.

How to find the GCF of 20995 and 21012?

We will first find the prime factorization of 20995 and 21012. After we will calculate the factors of 20995 and 21012 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 21012

Prime factors of 21012 are 2, 3, 17, 103. Prime factorization of 21012 in exponential form is:

21012 = 2² × 3¹ × 17¹ × 103¹

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 21012

List of positive integer factors of 21012 that divides 20995 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 103, 204, 206, 309, 412, 618, 1236, 1751, 3502, 5253, 7004, 10506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20995 and 21012. The biggest common factor number is the GCF number.
So the greatest common factor 20995 and 21012 is 17.

Also check out the Least Common Multiple of 20995 and 21012