What is the Greatest Common Factor of 78082 and 78102?

Greatest common factor (GCF) of 78082 and 78102 is 2.

GCF(78082,78102) = 2

We will now calculate the prime factors of 78082 and 78102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78082 and 78102.

How to find the GCF of 78082 and 78102?

We will first find the prime factorization of 78082 and 78102. After we will calculate the factors of 78082 and 78102 and find the biggest common factor number .

Step-1: Prime Factorization of 78082

Prime factors of 78082 are 2, 39041. Prime factorization of 78082 in exponential form is:

78082 = 2¹ × 39041¹

Step-2: Prime Factorization of 78102

Prime factors of 78102 are 2, 3, 4339. Prime factorization of 78102 in exponential form is:

78102 = 2¹ × 3² × 4339¹

Step-3: Factors of 78082

List of positive integer factors of 78082 that divides 78082 without a remainder.

1, 2, 39041

Step-4: Factors of 78102

List of positive integer factors of 78102 that divides 78082 without a remainder.

1, 2, 3, 6, 9, 18, 4339, 8678, 13017, 26034, 39051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78082 and 78102. The biggest common factor number is the GCF number.
So the greatest common factor 78082 and 78102 is 2.

Also check out the Least Common Multiple of 78082 and 78102