What is the Greatest Common Factor of 78846 and 78863?

Greatest common factor (GCF) of 78846 and 78863 is 17.

GCF(78846,78863) = 17

We will now calculate the prime factors of 78846 and 78863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78846 and 78863.

How to find the GCF of 78846 and 78863?

We will first find the prime factorization of 78846 and 78863. After we will calculate the factors of 78846 and 78863 and find the biggest common factor number .

Step-1: Prime Factorization of 78846

Prime factors of 78846 are 2, 3, 17, 773. Prime factorization of 78846 in exponential form is:

78846 = 2¹ × 3¹ × 17¹ × 773¹

Step-2: Prime Factorization of 78863

Prime factors of 78863 are 17, 4639. Prime factorization of 78863 in exponential form is:

78863 = 17¹ × 4639¹

Step-3: Factors of 78846

List of positive integer factors of 78846 that divides 78846 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 773, 1546, 2319, 4638, 13141, 26282, 39423

Step-4: Factors of 78863

List of positive integer factors of 78863 that divides 78846 without a remainder.

1, 17, 4639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78846 and 78863. The biggest common factor number is the GCF number.
So the greatest common factor 78846 and 78863 is 17.

Also check out the Least Common Multiple of 78846 and 78863