What is the Greatest Common Factor of 78906 and 78910?

Greatest common factor (GCF) of 78906 and 78910 is 2.

GCF(78906,78910) = 2

We will now calculate the prime factors of 78906 and 78910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78906 and 78910.

How to find the GCF of 78906 and 78910?

We will first find the prime factorization of 78906 and 78910. After we will calculate the factors of 78906 and 78910 and find the biggest common factor number .

Step-1: Prime Factorization of 78906

Prime factors of 78906 are 2, 3, 13151. Prime factorization of 78906 in exponential form is:

78906 = 2¹ × 3¹ × 13151¹

Step-2: Prime Factorization of 78910

Prime factors of 78910 are 2, 5, 13, 607. Prime factorization of 78910 in exponential form is:

78910 = 2¹ × 5¹ × 13¹ × 607¹

Step-3: Factors of 78906

List of positive integer factors of 78906 that divides 78906 without a remainder.

1, 2, 3, 6, 13151, 26302, 39453

Step-4: Factors of 78910

List of positive integer factors of 78910 that divides 78906 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 607, 1214, 3035, 6070, 7891, 15782, 39455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78906 and 78910. The biggest common factor number is the GCF number.
So the greatest common factor 78906 and 78910 is 2.

Also check out the Least Common Multiple of 78906 and 78910