What is the Greatest Common Factor of 78243 and 78261?

Greatest common factor (GCF) of 78243 and 78261 is 3.

GCF(78243,78261) = 3

We will now calculate the prime factors of 78243 and 78261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78243 and 78261.

How to find the GCF of 78243 and 78261?

We will first find the prime factorization of 78243 and 78261. After we will calculate the factors of 78243 and 78261 and find the biggest common factor number .

Step-1: Prime Factorization of 78243

Prime factors of 78243 are 3, 11, 2371. Prime factorization of 78243 in exponential form is:

78243 = 3¹ × 11¹ × 2371¹

Step-2: Prime Factorization of 78261

Prime factors of 78261 are 3, 19, 1373. Prime factorization of 78261 in exponential form is:

78261 = 3¹ × 19¹ × 1373¹

Step-3: Factors of 78243

List of positive integer factors of 78243 that divides 78243 without a remainder.

1, 3, 11, 33, 2371, 7113, 26081

Step-4: Factors of 78261

List of positive integer factors of 78261 that divides 78243 without a remainder.

1, 3, 19, 57, 1373, 4119, 26087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78243 and 78261. The biggest common factor number is the GCF number.
So the greatest common factor 78243 and 78261 is 3.

Also check out the Least Common Multiple of 78243 and 78261