What is the Greatest Common Factor of 82260 and 82270?

Greatest common factor (GCF) of 82260 and 82270 is 10.

GCF(82260,82270) = 10

We will now calculate the prime factors of 82260 and 82270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82260 and 82270.

How to find the GCF of 82260 and 82270?

We will first find the prime factorization of 82260 and 82270. After we will calculate the factors of 82260 and 82270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82270

Prime factors of 82270 are 2, 5, 19, 433. Prime factorization of 82270 in exponential form is:

82270 = 2¹ × 5¹ × 19¹ × 433¹

Step-3: Factors of 82260

List of positive integer factors of 82260 that divides 82260 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

Step-4: Factors of 82270

List of positive integer factors of 82270 that divides 82260 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 433, 866, 2165, 4330, 8227, 16454, 41135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82260 and 82270. The biggest common factor number is the GCF number.
So the greatest common factor 82260 and 82270 is 10.

Also check out the Least Common Multiple of 82260 and 82270