What is the Greatest Common Factor of 78805 and 78825?

Greatest common factor (GCF) of 78805 and 78825 is 5.

GCF(78805,78825) = 5

We will now calculate the prime factors of 78805 and 78825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78805 and 78825.

How to find the GCF of 78805 and 78825?

We will first find the prime factorization of 78805 and 78825. After we will calculate the factors of 78805 and 78825 and find the biggest common factor number .

Step-1: Prime Factorization of 78805

Prime factors of 78805 are 5, 15761. Prime factorization of 78805 in exponential form is:

78805 = 5¹ × 15761¹

Step-2: 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-3: Factors of 78805

List of positive integer factors of 78805 that divides 78805 without a remainder.

1, 5, 15761

Step-4: Factors of 78825

List of positive integer factors of 78825 that divides 78805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78805 and 78825. The biggest common factor number is the GCF number.
So the greatest common factor 78805 and 78825 is 5.

Also check out the Least Common Multiple of 78805 and 78825