What is the Greatest Common Factor of 21164 and 21174?

Greatest common factor (GCF) of 21164 and 21174 is 2.

GCF(21164,21174) = 2

We will now calculate the prime factors of 21164 and 21174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21164 and 21174.

How to find the GCF of 21164 and 21174?

We will first find the prime factorization of 21164 and 21174. After we will calculate the factors of 21164 and 21174 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 21174

Prime factors of 21174 are 2, 3, 3529. Prime factorization of 21174 in exponential form is:

21174 = 2¹ × 3¹ × 3529¹

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 21174

List of positive integer factors of 21174 that divides 21164 without a remainder.

1, 2, 3, 6, 3529, 7058, 10587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21164 and 21174. The biggest common factor number is the GCF number.
So the greatest common factor 21164 and 21174 is 2.

Also check out the Least Common Multiple of 21164 and 21174