What is the Greatest Common Factor of 83082 and 83102?

Greatest common factor (GCF) of 83082 and 83102 is 2.

GCF(83082,83102) = 2

We will now calculate the prime factors of 83082 and 83102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83082 and 83102.

How to find the GCF of 83082 and 83102?

We will first find the prime factorization of 83082 and 83102. After we will calculate the factors of 83082 and 83102 and find the biggest common factor number .

Step-1: Prime Factorization of 83082

Prime factors of 83082 are 2, 3, 61, 227. Prime factorization of 83082 in exponential form is:

83082 = 2¹ × 3¹ × 61¹ × 227¹

Step-2: Prime Factorization of 83102

Prime factors of 83102 are 2, 37, 1123. Prime factorization of 83102 in exponential form is:

83102 = 2¹ × 37¹ × 1123¹

Step-3: Factors of 83082

List of positive integer factors of 83082 that divides 83082 without a remainder.

1, 2, 3, 6, 61, 122, 183, 227, 366, 454, 681, 1362, 13847, 27694, 41541

Step-4: Factors of 83102

List of positive integer factors of 83102 that divides 83082 without a remainder.

1, 2, 37, 74, 1123, 2246, 41551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83082 and 83102. The biggest common factor number is the GCF number.
So the greatest common factor 83082 and 83102 is 2.

Also check out the Least Common Multiple of 83082 and 83102