What is the Greatest Common Factor of 78168 and 78182?

Greatest common factor (GCF) of 78168 and 78182 is 2.

GCF(78168,78182) = 2

We will now calculate the prime factors of 78168 and 78182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78168 and 78182.

How to find the GCF of 78168 and 78182?

We will first find the prime factorization of 78168 and 78182. After we will calculate the factors of 78168 and 78182 and find the biggest common factor number .

Step-1: Prime Factorization of 78168

Prime factors of 78168 are 2, 3, 3257. Prime factorization of 78168 in exponential form is:

78168 = 2³ × 3¹ × 3257¹

Step-2: Prime Factorization of 78182

Prime factors of 78182 are 2, 13, 31, 97. Prime factorization of 78182 in exponential form is:

78182 = 2¹ × 13¹ × 31¹ × 97¹

Step-3: Factors of 78168

List of positive integer factors of 78168 that divides 78168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3257, 6514, 9771, 13028, 19542, 26056, 39084

Step-4: Factors of 78182

List of positive integer factors of 78182 that divides 78168 without a remainder.

1, 2, 13, 26, 31, 62, 97, 194, 403, 806, 1261, 2522, 3007, 6014, 39091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78168 and 78182. The biggest common factor number is the GCF number.
So the greatest common factor 78168 and 78182 is 2.

Also check out the Least Common Multiple of 78168 and 78182