What is the Greatest Common Factor of 77806 and 77825?

Greatest common factor (GCF) of 77806 and 77825 is 1.

GCF(77806,77825) = 1

We will now calculate the prime factors of 77806 and 77825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77806 and 77825.

How to find the GCF of 77806 and 77825?

We will first find the prime factorization of 77806 and 77825. After we will calculate the factors of 77806 and 77825 and find the biggest common factor number .

Step-1: Prime Factorization of 77806

Prime factors of 77806 are 2, 38903. Prime factorization of 77806 in exponential form is:

77806 = 2¹ × 38903¹

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 77806

List of positive integer factors of 77806 that divides 77806 without a remainder.

1, 2, 38903

Step-4: Factors of 77825

List of positive integer factors of 77825 that divides 77806 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 77806 and 77825. The biggest common factor number is the GCF number.
So the greatest common factor 77806 and 77825 is 1.

Also check out the Least Common Multiple of 77806 and 77825