What is the Greatest Common Factor of 83321 and 83330?

Greatest common factor (GCF) of 83321 and 83330 is 1.

GCF(83321,83330) = 1

We will now calculate the prime factors of 83321 and 83330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83321 and 83330.

How to find the GCF of 83321 and 83330?

We will first find the prime factorization of 83321 and 83330. After we will calculate the factors of 83321 and 83330 and find the biggest common factor number .

Step-1: Prime Factorization of 83321

Prime factors of 83321 are 7, 11903. Prime factorization of 83321 in exponential form is:

83321 = 7¹ × 11903¹

Step-2: Prime Factorization of 83330

Prime factors of 83330 are 2, 5, 13, 641. Prime factorization of 83330 in exponential form is:

83330 = 2¹ × 5¹ × 13¹ × 641¹

Step-3: Factors of 83321

List of positive integer factors of 83321 that divides 83321 without a remainder.

1, 7, 11903

Step-4: Factors of 83330

List of positive integer factors of 83330 that divides 83321 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 641, 1282, 3205, 6410, 8333, 16666, 41665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83321 and 83330. The biggest common factor number is the GCF number.
So the greatest common factor 83321 and 83330 is 1.

Also check out the Least Common Multiple of 83321 and 83330