What is the Greatest Common Factor of 78231 and 78249?

Greatest common factor (GCF) of 78231 and 78249 is 3.

GCF(78231,78249) = 3

We will now calculate the prime factors of 78231 and 78249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78231 and 78249.

How to find the GCF of 78231 and 78249?

We will first find the prime factorization of 78231 and 78249. After we will calculate the factors of 78231 and 78249 and find the biggest common factor number .

Step-1: Prime Factorization of 78231

Prime factors of 78231 are 3, 89, 293. Prime factorization of 78231 in exponential form is:

78231 = 3¹ × 89¹ × 293¹

Step-2: Prime Factorization of 78249

Prime factors of 78249 are 3, 26083. Prime factorization of 78249 in exponential form is:

78249 = 3¹ × 26083¹

Step-3: Factors of 78231

List of positive integer factors of 78231 that divides 78231 without a remainder.

1, 3, 89, 267, 293, 879, 26077

Step-4: Factors of 78249

List of positive integer factors of 78249 that divides 78231 without a remainder.

1, 3, 26083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78231 and 78249. The biggest common factor number is the GCF number.
So the greatest common factor 78231 and 78249 is 3.

Also check out the Least Common Multiple of 78231 and 78249