What is the Greatest Common Factor of 3082 and 3102?

Greatest common factor (GCF) of 3082 and 3102 is 2.

GCF(3082,3102) = 2

We will now calculate the prime factors of 3082 and 3102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3082 and 3102.

How to find the GCF of 3082 and 3102?

We will first find the prime factorization of 3082 and 3102. After we will calculate the factors of 3082 and 3102 and find the biggest common factor number .

Step-1: Prime Factorization of 3082

Prime factors of 3082 are 2, 23, 67. Prime factorization of 3082 in exponential form is:

3082 = 2¹ × 23¹ × 67¹

Step-2: Prime Factorization of 3102

Prime factors of 3102 are 2, 3, 11, 47. Prime factorization of 3102 in exponential form is:

3102 = 2¹ × 3¹ × 11¹ × 47¹

Step-3: Factors of 3082

List of positive integer factors of 3082 that divides 3082 without a remainder.

1, 2, 23, 46, 67, 134, 1541

Step-4: Factors of 3102

List of positive integer factors of 3102 that divides 3082 without a remainder.

1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3082 and 3102. The biggest common factor number is the GCF number.
So the greatest common factor 3082 and 3102 is 2.

Also check out the Least Common Multiple of 3082 and 3102