What is the Greatest Common Factor of 21361 and 21378?

Greatest common factor (GCF) of 21361 and 21378 is 1.

GCF(21361,21378) = 1

We will now calculate the prime factors of 21361 and 21378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21361 and 21378.

How to find the GCF of 21361 and 21378?

We will first find the prime factorization of 21361 and 21378. After we will calculate the factors of 21361 and 21378 and find the biggest common factor number .

Step-1: Prime Factorization of 21361

Prime factors of 21361 are 41, 521. Prime factorization of 21361 in exponential form is:

21361 = 41¹ × 521¹

Step-2: Prime Factorization of 21378

Prime factors of 21378 are 2, 3, 7, 509. Prime factorization of 21378 in exponential form is:

21378 = 2¹ × 3¹ × 7¹ × 509¹

Step-3: Factors of 21361

List of positive integer factors of 21361 that divides 21361 without a remainder.

1, 41, 521

Step-4: Factors of 21378

List of positive integer factors of 21378 that divides 21361 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 509, 1018, 1527, 3054, 3563, 7126, 10689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21361 and 21378. The biggest common factor number is the GCF number.
So the greatest common factor 21361 and 21378 is 1.

Also check out the Least Common Multiple of 21361 and 21378