What is the Greatest Common Factor of 21156 and 21174?

Greatest common factor (GCF) of 21156 and 21174 is 6.

GCF(21156,21174) = 6

We will now calculate the prime factors of 21156 and 21174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21156 and 21174.

How to find the GCF of 21156 and 21174?

We will first find the prime factorization of 21156 and 21174. After we will calculate the factors of 21156 and 21174 and find the biggest common factor number .

Step-1: Prime Factorization of 21156

Prime factors of 21156 are 2, 3, 41, 43. Prime factorization of 21156 in exponential form is:

21156 = 2² × 3¹ × 41¹ × 43¹

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 21156

List of positive integer factors of 21156 that divides 21156 without a remainder.

1, 2, 3, 4, 6, 12, 41, 43, 82, 86, 123, 129, 164, 172, 246, 258, 492, 516, 1763, 3526, 5289, 7052, 10578

Step-4: Factors of 21174

List of positive integer factors of 21174 that divides 21156 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21156 and 21174. The biggest common factor number is the GCF number.
So the greatest common factor 21156 and 21174 is 6.

Also check out the Least Common Multiple of 21156 and 21174