What is the Greatest Common Factor of 78849 and 78869?

Greatest common factor (GCF) of 78849 and 78869 is 1.

GCF(78849,78869) = 1

We will now calculate the prime factors of 78849 and 78869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78849 and 78869.

How to find the GCF of 78849 and 78869?

We will first find the prime factorization of 78849 and 78869. After we will calculate the factors of 78849 and 78869 and find the biggest common factor number .

Step-1: Prime Factorization of 78849

Prime factors of 78849 are 3, 8761. Prime factorization of 78849 in exponential form is:

78849 = 3² × 8761¹

Step-2: Prime Factorization of 78869

Prime factors of 78869 are 7, 19, 593. Prime factorization of 78869 in exponential form is:

78869 = 7¹ × 19¹ × 593¹

Step-3: Factors of 78849

List of positive integer factors of 78849 that divides 78849 without a remainder.

1, 3, 9, 8761, 26283

Step-4: Factors of 78869

List of positive integer factors of 78869 that divides 78849 without a remainder.

1, 7, 19, 133, 593, 4151, 11267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78849 and 78869. The biggest common factor number is the GCF number.
So the greatest common factor 78849 and 78869 is 1.

Also check out the Least Common Multiple of 78849 and 78869