What is the Greatest Common Factor of 78832 and 78838?

Greatest common factor (GCF) of 78832 and 78838 is 2.

GCF(78832,78838) = 2

We will now calculate the prime factors of 78832 and 78838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78832 and 78838.

How to find the GCF of 78832 and 78838?

We will first find the prime factorization of 78832 and 78838. After we will calculate the factors of 78832 and 78838 and find the biggest common factor number .

Step-1: Prime Factorization of 78832

Prime factors of 78832 are 2, 13, 379. Prime factorization of 78832 in exponential form is:

78832 = 2⁴ × 13¹ × 379¹

Step-2: Prime Factorization of 78838

Prime factors of 78838 are 2, 39419. Prime factorization of 78838 in exponential form is:

78838 = 2¹ × 39419¹

Step-3: Factors of 78832

List of positive integer factors of 78832 that divides 78832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 379, 758, 1516, 3032, 4927, 6064, 9854, 19708, 39416

Step-4: Factors of 78838

List of positive integer factors of 78838 that divides 78832 without a remainder.

1, 2, 39419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78832 and 78838. The biggest common factor number is the GCF number.
So the greatest common factor 78832 and 78838 is 2.

Also check out the Least Common Multiple of 78832 and 78838