What is the Greatest Common Factor of 78309 and 78313?

Greatest common factor (GCF) of 78309 and 78313 is 1.

GCF(78309,78313) = 1

We will now calculate the prime factors of 78309 and 78313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78309 and 78313.

How to find the GCF of 78309 and 78313?

We will first find the prime factorization of 78309 and 78313. After we will calculate the factors of 78309 and 78313 and find the biggest common factor number .

Step-1: Prime Factorization of 78309

Prime factors of 78309 are 3, 7, 11, 113. Prime factorization of 78309 in exponential form is:

78309 = 3² × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 78313

Prime factors of 78313 are 71, 1103. Prime factorization of 78313 in exponential form is:

78313 = 71¹ × 1103¹

Step-3: Factors of 78309

List of positive integer factors of 78309 that divides 78309 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 113, 231, 339, 693, 791, 1017, 1243, 2373, 3729, 7119, 8701, 11187, 26103

Step-4: Factors of 78313

List of positive integer factors of 78313 that divides 78309 without a remainder.

1, 71, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78309 and 78313. The biggest common factor number is the GCF number.
So the greatest common factor 78309 and 78313 is 1.

Also check out the Least Common Multiple of 78309 and 78313