What is the Greatest Common Factor of 82242 and 82260?

Greatest common factor (GCF) of 82242 and 82260 is 18.

GCF(82242,82260) = 18

We will now calculate the prime factors of 82242 and 82260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82242 and 82260.

How to find the GCF of 82242 and 82260?

We will first find the prime factorization of 82242 and 82260. After we will calculate the factors of 82242 and 82260 and find the biggest common factor number .

Step-1: Prime Factorization of 82242

Prime factors of 82242 are 2, 3, 1523. Prime factorization of 82242 in exponential form is:

82242 = 2¹ × 3³ × 1523¹

Step-2: Prime Factorization of 82260

Prime factors of 82260 are 2, 3, 5, 457. Prime factorization of 82260 in exponential form is:

82260 = 2² × 3² × 5¹ × 457¹

Step-3: Factors of 82242

List of positive integer factors of 82242 that divides 82242 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1523, 3046, 4569, 9138, 13707, 27414, 41121

Step-4: Factors of 82260

List of positive integer factors of 82260 that divides 82242 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 457, 914, 1371, 1828, 2285, 2742, 4113, 4570, 5484, 6855, 8226, 9140, 13710, 16452, 20565, 27420, 41130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82242 and 82260. The biggest common factor number is the GCF number.
So the greatest common factor 82242 and 82260 is 18.

Also check out the Least Common Multiple of 82242 and 82260