What is the Greatest Common Factor of 82290 and 82300?

Greatest common factor (GCF) of 82290 and 82300 is 10.

GCF(82290,82300) = 10

We will now calculate the prime factors of 82290 and 82300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82290 and 82300.

How to find the GCF of 82290 and 82300?

We will first find the prime factorization of 82290 and 82300. After we will calculate the factors of 82290 and 82300 and find the biggest common factor number .

Step-1: Prime Factorization of 82290

Prime factors of 82290 are 2, 3, 5, 13, 211. Prime factorization of 82290 in exponential form is:

82290 = 2¹ × 3¹ × 5¹ × 13¹ × 211¹

Step-2: Prime Factorization of 82300

Prime factors of 82300 are 2, 5, 823. Prime factorization of 82300 in exponential form is:

82300 = 2² × 5² × 823¹

Step-3: Factors of 82290

List of positive integer factors of 82290 that divides 82290 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 211, 390, 422, 633, 1055, 1266, 2110, 2743, 3165, 5486, 6330, 8229, 13715, 16458, 27430, 41145

Step-4: Factors of 82300

List of positive integer factors of 82300 that divides 82290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 823, 1646, 3292, 4115, 8230, 16460, 20575, 41150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82290 and 82300. The biggest common factor number is the GCF number.
So the greatest common factor 82290 and 82300 is 10.

Also check out the Least Common Multiple of 82290 and 82300