What is the Greatest Common Factor of 21164 and 21178?

Greatest common factor (GCF) of 21164 and 21178 is 2.

GCF(21164,21178) = 2

We will now calculate the prime factors of 21164 and 21178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21164 and 21178.

How to find the GCF of 21164 and 21178?

We will first find the prime factorization of 21164 and 21178. After we will calculate the factors of 21164 and 21178 and find the biggest common factor number .

Step-1: Prime Factorization of 21164

Prime factors of 21164 are 2, 11, 13, 37. Prime factorization of 21164 in exponential form is:

21164 = 2² × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 21178

Prime factors of 21178 are 2, 10589. Prime factorization of 21178 in exponential form is:

21178 = 2¹ × 10589¹

Step-3: Factors of 21164

List of positive integer factors of 21164 that divides 21164 without a remainder.

1, 2, 4, 11, 13, 22, 26, 37, 44, 52, 74, 143, 148, 286, 407, 481, 572, 814, 962, 1628, 1924, 5291, 10582

Step-4: Factors of 21178

List of positive integer factors of 21178 that divides 21164 without a remainder.

1, 2, 10589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21164 and 21178. The biggest common factor number is the GCF number.
So the greatest common factor 21164 and 21178 is 2.

Also check out the Least Common Multiple of 21164 and 21178