What is the Greatest Common Factor of 83382 and 83390?

Greatest common factor (GCF) of 83382 and 83390 is 2.

GCF(83382,83390) = 2

We will now calculate the prime factors of 83382 and 83390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83382 and 83390.

How to find the GCF of 83382 and 83390?

We will first find the prime factorization of 83382 and 83390. After we will calculate the factors of 83382 and 83390 and find the biggest common factor number .

Step-1: Prime Factorization of 83382

Prime factors of 83382 are 2, 3, 13, 1069. Prime factorization of 83382 in exponential form is:

83382 = 2¹ × 3¹ × 13¹ × 1069¹

Step-2: Prime Factorization of 83390

Prime factors of 83390 are 2, 5, 31, 269. Prime factorization of 83390 in exponential form is:

83390 = 2¹ × 5¹ × 31¹ × 269¹

Step-3: Factors of 83382

List of positive integer factors of 83382 that divides 83382 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1069, 2138, 3207, 6414, 13897, 27794, 41691

Step-4: Factors of 83390

List of positive integer factors of 83390 that divides 83382 without a remainder.

1, 2, 5, 10, 31, 62, 155, 269, 310, 538, 1345, 2690, 8339, 16678, 41695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83382 and 83390. The biggest common factor number is the GCF number.
So the greatest common factor 83382 and 83390 is 2.

Also check out the Least Common Multiple of 83382 and 83390