What is the Greatest Common Factor of 21386 and 21403?

Greatest common factor (GCF) of 21386 and 21403 is 17.

GCF(21386,21403) = 17

We will now calculate the prime factors of 21386 and 21403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21386 and 21403.

How to find the GCF of 21386 and 21403?

We will first find the prime factorization of 21386 and 21403. After we will calculate the factors of 21386 and 21403 and find the biggest common factor number .

Step-1: Prime Factorization of 21386

Prime factors of 21386 are 2, 17, 37. Prime factorization of 21386 in exponential form is:

21386 = 2¹ × 17² × 37¹

Step-2: Prime Factorization of 21403

Prime factors of 21403 are 17, 1259. Prime factorization of 21403 in exponential form is:

21403 = 17¹ × 1259¹

Step-3: Factors of 21386

List of positive integer factors of 21386 that divides 21386 without a remainder.

1, 2, 17, 34, 37, 74, 289, 578, 629, 1258, 10693

Step-4: Factors of 21403

List of positive integer factors of 21403 that divides 21386 without a remainder.

1, 17, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21386 and 21403. The biggest common factor number is the GCF number.
So the greatest common factor 21386 and 21403 is 17.

Also check out the Least Common Multiple of 21386 and 21403