What is the Greatest Common Factor of 78897 and 78903?

Greatest common factor (GCF) of 78897 and 78903 is 3.

GCF(78897,78903) = 3

We will now calculate the prime factors of 78897 and 78903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78897 and 78903.

How to find the GCF of 78897 and 78903?

We will first find the prime factorization of 78897 and 78903. After we will calculate the factors of 78897 and 78903 and find the biggest common factor number .

Step-1: Prime Factorization of 78897

Prime factors of 78897 are 3, 7, 13, 17. Prime factorization of 78897 in exponential form is:

78897 = 3¹ × 7¹ × 13¹ × 17²

Step-2: Prime Factorization of 78903

Prime factors of 78903 are 3, 11, 797. Prime factorization of 78903 in exponential form is:

78903 = 3² × 11¹ × 797¹

Step-3: Factors of 78897

List of positive integer factors of 78897 that divides 78897 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 289, 357, 663, 867, 1547, 2023, 3757, 4641, 6069, 11271, 26299

Step-4: Factors of 78903

List of positive integer factors of 78903 that divides 78897 without a remainder.

1, 3, 9, 11, 33, 99, 797, 2391, 7173, 8767, 26301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78897 and 78903. The biggest common factor number is the GCF number.
So the greatest common factor 78897 and 78903 is 3.

Also check out the Least Common Multiple of 78897 and 78903