What is the Greatest Common Factor of 21400 and 21406?

Greatest common factor (GCF) of 21400 and 21406 is 2.

GCF(21400,21406) = 2

We will now calculate the prime factors of 21400 and 21406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21400 and 21406.

How to find the GCF of 21400 and 21406?

We will first find the prime factorization of 21400 and 21406. After we will calculate the factors of 21400 and 21406 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21406

Prime factors of 21406 are 2, 7, 11, 139. Prime factorization of 21406 in exponential form is:

21406 = 2¹ × 7¹ × 11¹ × 139¹

Step-3: Factors of 21400

List of positive integer factors of 21400 that divides 21400 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

Step-4: Factors of 21406

List of positive integer factors of 21406 that divides 21400 without a remainder.

1, 2, 7, 11, 14, 22, 77, 139, 154, 278, 973, 1529, 1946, 3058, 10703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21400 and 21406. The biggest common factor number is the GCF number.
So the greatest common factor 21400 and 21406 is 2.

Also check out the Least Common Multiple of 21400 and 21406