What is the Greatest Common Factor of 82314 and 82330?

Greatest common factor (GCF) of 82314 and 82330 is 2.

GCF(82314,82330) = 2

We will now calculate the prime factors of 82314 and 82330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82314 and 82330.

How to find the GCF of 82314 and 82330?

We will first find the prime factorization of 82314 and 82330. After we will calculate the factors of 82314 and 82330 and find the biggest common factor number .

Step-1: Prime Factorization of 82314

Prime factors of 82314 are 2, 3, 17, 269. Prime factorization of 82314 in exponential form is:

82314 = 2¹ × 3² × 17¹ × 269¹

Step-2: Prime Factorization of 82330

Prime factors of 82330 are 2, 5, 8233. Prime factorization of 82330 in exponential form is:

82330 = 2¹ × 5¹ × 8233¹

Step-3: Factors of 82314

List of positive integer factors of 82314 that divides 82314 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 269, 306, 538, 807, 1614, 2421, 4573, 4842, 9146, 13719, 27438, 41157

Step-4: Factors of 82330

List of positive integer factors of 82330 that divides 82314 without a remainder.

1, 2, 5, 10, 8233, 16466, 41165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82314 and 82330. The biggest common factor number is the GCF number.
So the greatest common factor 82314 and 82330 is 2.

Also check out the Least Common Multiple of 82314 and 82330