What is the Greatest Common Factor of 78897 and 78915?

Greatest common factor (GCF) of 78897 and 78915 is 3.

GCF(78897,78915) = 3

We will now calculate the prime factors of 78897 and 78915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78897 and 78915.

How to find the GCF of 78897 and 78915?

We will first find the prime factorization of 78897 and 78915. After we will calculate the factors of 78897 and 78915 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 78915

Prime factors of 78915 are 3, 5, 5261. Prime factorization of 78915 in exponential form is:

78915 = 3¹ × 5¹ × 5261¹

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 78915

List of positive integer factors of 78915 that divides 78897 without a remainder.

1, 3, 5, 15, 5261, 15783, 26305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78897 and 78915. The biggest common factor number is the GCF number.
So the greatest common factor 78897 and 78915 is 3.

Also check out the Least Common Multiple of 78897 and 78915