What is the Greatest Common Factor of 78825 and 78842?

Greatest common factor (GCF) of 78825 and 78842 is 1.

GCF(78825,78842) = 1

We will now calculate the prime factors of 78825 and 78842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78825 and 78842.

How to find the GCF of 78825 and 78842?

We will first find the prime factorization of 78825 and 78842. After we will calculate the factors of 78825 and 78842 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 78842

Prime factors of 78842 are 2, 79, 499. Prime factorization of 78842 in exponential form is:

78842 = 2¹ × 79¹ × 499¹

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 78842

List of positive integer factors of 78842 that divides 78825 without a remainder.

1, 2, 79, 158, 499, 998, 39421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78825 and 78842. The biggest common factor number is the GCF number.
So the greatest common factor 78825 and 78842 is 1.

Also check out the Least Common Multiple of 78825 and 78842