What is the Greatest Common Factor of 21374 and 21382?

Greatest common factor (GCF) of 21374 and 21382 is 2.

GCF(21374,21382) = 2

We will now calculate the prime factors of 21374 and 21382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21374 and 21382.

How to find the GCF of 21374 and 21382?

We will first find the prime factorization of 21374 and 21382. After we will calculate the factors of 21374 and 21382 and find the biggest common factor number .

Step-1: Prime Factorization of 21374

Prime factors of 21374 are 2, 10687. Prime factorization of 21374 in exponential form is:

21374 = 2¹ × 10687¹

Step-2: Prime Factorization of 21382

Prime factors of 21382 are 2, 10691. Prime factorization of 21382 in exponential form is:

21382 = 2¹ × 10691¹

Step-3: Factors of 21374

List of positive integer factors of 21374 that divides 21374 without a remainder.

1, 2, 10687

Step-4: Factors of 21382

List of positive integer factors of 21382 that divides 21374 without a remainder.

1, 2, 10691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21374 and 21382. The biggest common factor number is the GCF number.
So the greatest common factor 21374 and 21382 is 2.

Also check out the Least Common Multiple of 21374 and 21382