What is the Greatest Common Factor of 21165 and 21182?

Greatest common factor (GCF) of 21165 and 21182 is 17.

GCF(21165,21182) = 17

We will now calculate the prime factors of 21165 and 21182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21165 and 21182.

How to find the GCF of 21165 and 21182?

We will first find the prime factorization of 21165 and 21182. After we will calculate the factors of 21165 and 21182 and find the biggest common factor number .

Step-1: Prime Factorization of 21165

Prime factors of 21165 are 3, 5, 17, 83. Prime factorization of 21165 in exponential form is:

21165 = 3¹ × 5¹ × 17¹ × 83¹

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 21165

List of positive integer factors of 21165 that divides 21165 without a remainder.

1, 3, 5, 15, 17, 51, 83, 85, 249, 255, 415, 1245, 1411, 4233, 7055

Step-4: Factors of 21182

List of positive integer factors of 21182 that divides 21165 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 21165 and 21182. The biggest common factor number is the GCF number.
So the greatest common factor 21165 and 21182 is 17.

Also check out the Least Common Multiple of 21165 and 21182