What is the Greatest Common Factor of 21174 and 21182?

Greatest common factor (GCF) of 21174 and 21182 is 2.

GCF(21174,21182) = 2

We will now calculate the prime factors of 21174 and 21182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21174 and 21182.

How to find the GCF of 21174 and 21182?

We will first find the prime factorization of 21174 and 21182. After we will calculate the factors of 21174 and 21182 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21182

Prime factors of 21182 are 2, 7, 17, 89. Prime factorization of 21182 in exponential form is:

21182 = 2¹ × 7¹ × 17¹ × 89¹

Step-3: Factors of 21174

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

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

Step-4: Factors of 21182

List of positive integer factors of 21182 that divides 21174 without a remainder.

1, 2, 7, 14, 17, 34, 89, 119, 178, 238, 623, 1246, 1513, 3026, 10591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21174 and 21182. The biggest common factor number is the GCF number.
So the greatest common factor 21174 and 21182 is 2.

Also check out the Least Common Multiple of 21174 and 21182