What is the Greatest Common Factor of 8178 and 8187?

Greatest common factor (GCF) of 8178 and 8187 is 3.

GCF(8178,8187) = 3

We will now calculate the prime factors of 8178 and 8187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8178 and 8187.

How to find the GCF of 8178 and 8187?

We will first find the prime factorization of 8178 and 8187. After we will calculate the factors of 8178 and 8187 and find the biggest common factor number .

Step-1: Prime Factorization of 8178

Prime factors of 8178 are 2, 3, 29, 47. Prime factorization of 8178 in exponential form is:

8178 = 2¹ × 3¹ × 29¹ × 47¹

Step-2: Prime Factorization of 8187

Prime factors of 8187 are 3, 2729. Prime factorization of 8187 in exponential form is:

8187 = 3¹ × 2729¹

Step-3: Factors of 8178

List of positive integer factors of 8178 that divides 8178 without a remainder.

1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089

Step-4: Factors of 8187

List of positive integer factors of 8187 that divides 8178 without a remainder.

1, 3, 2729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8178 and 8187. The biggest common factor number is the GCF number.
So the greatest common factor 8178 and 8187 is 3.

Also check out the Least Common Multiple of 8178 and 8187