What is the Greatest Common Factor of 83310 and 83330?

Greatest common factor (GCF) of 83310 and 83330 is 10.

GCF(83310,83330) = 10

We will now calculate the prime factors of 83310 and 83330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83310 and 83330.

How to find the GCF of 83310 and 83330?

We will first find the prime factorization of 83310 and 83330. After we will calculate the factors of 83310 and 83330 and find the biggest common factor number .

Step-1: Prime Factorization of 83310

Prime factors of 83310 are 2, 3, 5, 2777. Prime factorization of 83310 in exponential form is:

83310 = 2¹ × 3¹ × 5¹ × 2777¹

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 83310

List of positive integer factors of 83310 that divides 83310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2777, 5554, 8331, 13885, 16662, 27770, 41655

Step-4: Factors of 83330

List of positive integer factors of 83330 that divides 83310 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 83310 and 83330. The biggest common factor number is the GCF number.
So the greatest common factor 83310 and 83330 is 10.

Also check out the Least Common Multiple of 83310 and 83330