What is the Greatest Common Factor of 21286 and 21290?

Greatest common factor (GCF) of 21286 and 21290 is 2.

GCF(21286,21290) = 2

We will now calculate the prime factors of 21286 and 21290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21286 and 21290.

How to find the GCF of 21286 and 21290?

We will first find the prime factorization of 21286 and 21290. After we will calculate the factors of 21286 and 21290 and find the biggest common factor number .

Step-1: Prime Factorization of 21286

Prime factors of 21286 are 2, 29, 367. Prime factorization of 21286 in exponential form is:

21286 = 2¹ × 29¹ × 367¹

Step-2: Prime Factorization of 21290

Prime factors of 21290 are 2, 5, 2129. Prime factorization of 21290 in exponential form is:

21290 = 2¹ × 5¹ × 2129¹

Step-3: Factors of 21286

List of positive integer factors of 21286 that divides 21286 without a remainder.

1, 2, 29, 58, 367, 734, 10643

Step-4: Factors of 21290

List of positive integer factors of 21290 that divides 21286 without a remainder.

1, 2, 5, 10, 2129, 4258, 10645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21286 and 21290. The biggest common factor number is the GCF number.
So the greatest common factor 21286 and 21290 is 2.

Also check out the Least Common Multiple of 21286 and 21290