What is the Greatest Common Factor of 21071 and 21090?

Greatest common factor (GCF) of 21071 and 21090 is 19.

GCF(21071,21090) = 19

We will now calculate the prime factors of 21071 and 21090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21071 and 21090.

How to find the GCF of 21071 and 21090?

We will first find the prime factorization of 21071 and 21090. After we will calculate the factors of 21071 and 21090 and find the biggest common factor number .

Step-1: Prime Factorization of 21071

Prime factors of 21071 are 19, 1109. Prime factorization of 21071 in exponential form is:

21071 = 19¹ × 1109¹

Step-2: Prime Factorization of 21090

Prime factors of 21090 are 2, 3, 5, 19, 37. Prime factorization of 21090 in exponential form is:

21090 = 2¹ × 3¹ × 5¹ × 19¹ × 37¹

Step-3: Factors of 21071

List of positive integer factors of 21071 that divides 21071 without a remainder.

1, 19, 1109

Step-4: Factors of 21090

List of positive integer factors of 21090 that divides 21071 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 37, 38, 57, 74, 95, 111, 114, 185, 190, 222, 285, 370, 555, 570, 703, 1110, 1406, 2109, 3515, 4218, 7030, 10545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21071 and 21090. The biggest common factor number is the GCF number.
So the greatest common factor 21071 and 21090 is 19.

Also check out the Least Common Multiple of 21071 and 21090