What is the Greatest Common Factor of 21148 and 21164?

Greatest common factor (GCF) of 21148 and 21164 is 4.

GCF(21148,21164) = 4

We will now calculate the prime factors of 21148 and 21164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21148 and 21164.

How to find the GCF of 21148 and 21164?

We will first find the prime factorization of 21148 and 21164. After we will calculate the factors of 21148 and 21164 and find the biggest common factor number .

Step-1: Prime Factorization of 21148

Prime factors of 21148 are 2, 17, 311. Prime factorization of 21148 in exponential form is:

21148 = 2² × 17¹ × 311¹

Step-2: 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-3: Factors of 21148

List of positive integer factors of 21148 that divides 21148 without a remainder.

1, 2, 4, 17, 34, 68, 311, 622, 1244, 5287, 10574

Step-4: Factors of 21164

List of positive integer factors of 21164 that divides 21148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21148 and 21164. The biggest common factor number is the GCF number.
So the greatest common factor 21148 and 21164 is 4.

Also check out the Least Common Multiple of 21148 and 21164