What is the Greatest Common Factor of 21386 and 21400?

Greatest common factor (GCF) of 21386 and 21400 is 2.

GCF(21386,21400) = 2

We will now calculate the prime factors of 21386 and 21400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21386 and 21400.

How to find the GCF of 21386 and 21400?

We will first find the prime factorization of 21386 and 21400. After we will calculate the factors of 21386 and 21400 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 21400

Prime factors of 21400 are 2, 5, 107. Prime factorization of 21400 in exponential form is:

21400 = 2³ × 5² × 107¹

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 21400

List of positive integer factors of 21400 that divides 21386 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 107, 200, 214, 428, 535, 856, 1070, 2140, 2675, 4280, 5350, 10700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21386 and 21400. The biggest common factor number is the GCF number.
So the greatest common factor 21386 and 21400 is 2.

Also check out the Least Common Multiple of 21386 and 21400