What is the Greatest Common Factor of 78825 and 78832?

Greatest common factor (GCF) of 78825 and 78832 is 1.

GCF(78825,78832) = 1

We will now calculate the prime factors of 78825 and 78832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78825 and 78832.

How to find the GCF of 78825 and 78832?

We will first find the prime factorization of 78825 and 78832. After we will calculate the factors of 78825 and 78832 and find the biggest common factor number .

Step-1: Prime Factorization of 78825

Prime factors of 78825 are 3, 5, 1051. Prime factorization of 78825 in exponential form is:

78825 = 3¹ × 5² × 1051¹

Step-2: 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-3: Factors of 78825

List of positive integer factors of 78825 that divides 78825 without a remainder.

1, 3, 5, 15, 25, 75, 1051, 3153, 5255, 15765, 26275

Step-4: Factors of 78832

List of positive integer factors of 78832 that divides 78825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78825 and 78832. The biggest common factor number is the GCF number.
So the greatest common factor 78825 and 78832 is 1.

Also check out the Least Common Multiple of 78825 and 78832