What is the Greatest Common Factor of 77819 and 77825?

Greatest common factor (GCF) of 77819 and 77825 is 1.

GCF(77819,77825) = 1

We will now calculate the prime factors of 77819 and 77825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77819 and 77825.

How to find the GCF of 77819 and 77825?

We will first find the prime factorization of 77819 and 77825. After we will calculate the factors of 77819 and 77825 and find the biggest common factor number .

Step-1: Prime Factorization of 77819

Prime factors of 77819 are 7, 11117. Prime factorization of 77819 in exponential form is:

77819 = 7¹ × 11117¹

Step-2: Prime Factorization of 77825

Prime factors of 77825 are 5, 11, 283. Prime factorization of 77825 in exponential form is:

77825 = 5² × 11¹ × 283¹

Step-3: Factors of 77819

List of positive integer factors of 77819 that divides 77819 without a remainder.

1, 7, 11117

Step-4: Factors of 77825

List of positive integer factors of 77825 that divides 77819 without a remainder.

1, 5, 11, 25, 55, 275, 283, 1415, 3113, 7075, 15565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77819 and 77825. The biggest common factor number is the GCF number.
So the greatest common factor 77819 and 77825 is 1.

Also check out the Least Common Multiple of 77819 and 77825