What is the Greatest Common Factor of 78846 and 78866?

Greatest common factor (GCF) of 78846 and 78866 is 2.

GCF(78846,78866) = 2

We will now calculate the prime factors of 78846 and 78866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78846 and 78866.

How to find the GCF of 78846 and 78866?

We will first find the prime factorization of 78846 and 78866. After we will calculate the factors of 78846 and 78866 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 78866

Prime factors of 78866 are 2, 47, 839. Prime factorization of 78866 in exponential form is:

78866 = 2¹ × 47¹ × 839¹

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 78866

List of positive integer factors of 78866 that divides 78846 without a remainder.

1, 2, 47, 94, 839, 1678, 39433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78846 and 78866. The biggest common factor number is the GCF number.
So the greatest common factor 78846 and 78866 is 2.

Also check out the Least Common Multiple of 78846 and 78866