What is the Greatest Common Factor of 78801 and 78819?

Greatest common factor (GCF) of 78801 and 78819 is 3.

GCF(78801,78819) = 3

We will now calculate the prime factors of 78801 and 78819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78801 and 78819.

How to find the GCF of 78801 and 78819?

We will first find the prime factorization of 78801 and 78819. After we will calculate the factors of 78801 and 78819 and find the biggest common factor number .

Step-1: Prime Factorization of 78801

Prime factors of 78801 are 3, 26267. Prime factorization of 78801 in exponential form is:

78801 = 3¹ × 26267¹

Step-2: Prime Factorization of 78819

Prime factors of 78819 are 3, 13, 43, 47. Prime factorization of 78819 in exponential form is:

78819 = 3¹ × 13¹ × 43¹ × 47¹

Step-3: Factors of 78801

List of positive integer factors of 78801 that divides 78801 without a remainder.

1, 3, 26267

Step-4: Factors of 78819

List of positive integer factors of 78819 that divides 78801 without a remainder.

1, 3, 13, 39, 43, 47, 129, 141, 559, 611, 1677, 1833, 2021, 6063, 26273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78801 and 78819. The biggest common factor number is the GCF number.
So the greatest common factor 78801 and 78819 is 3.

Also check out the Least Common Multiple of 78801 and 78819