What is the Greatest Common Factor of 21364 and 21374?

Greatest common factor (GCF) of 21364 and 21374 is 2.

GCF(21364,21374) = 2

We will now calculate the prime factors of 21364 and 21374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21364 and 21374.

How to find the GCF of 21364 and 21374?

We will first find the prime factorization of 21364 and 21374. After we will calculate the factors of 21364 and 21374 and find the biggest common factor number .

Step-1: Prime Factorization of 21364

Prime factors of 21364 are 2, 7, 109. Prime factorization of 21364 in exponential form is:

21364 = 2² × 7² × 109¹

Step-2: Prime Factorization of 21374

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

21374 = 2¹ × 10687¹

Step-3: Factors of 21364

List of positive integer factors of 21364 that divides 21364 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 109, 196, 218, 436, 763, 1526, 3052, 5341, 10682

Step-4: Factors of 21374

List of positive integer factors of 21374 that divides 21364 without a remainder.

1, 2, 10687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21364 and 21374. The biggest common factor number is the GCF number.
So the greatest common factor 21364 and 21374 is 2.

Also check out the Least Common Multiple of 21364 and 21374