What is the Greatest Common Factor of 21378 and 21397?

Greatest common factor (GCF) of 21378 and 21397 is 1.

GCF(21378,21397) = 1

We will now calculate the prime factors of 21378 and 21397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21378 and 21397.

How to find the GCF of 21378 and 21397?

We will first find the prime factorization of 21378 and 21397. After we will calculate the factors of 21378 and 21397 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21397

Prime factors of 21397 are 21397. Prime factorization of 21397 in exponential form is:

21397 = 21397¹

Step-3: Factors of 21378

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

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

Step-4: Factors of 21397

List of positive integer factors of 21397 that divides 21378 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21378 and 21397. The biggest common factor number is the GCF number.
So the greatest common factor 21378 and 21397 is 1.

Also check out the Least Common Multiple of 21378 and 21397