What is the Greatest Common Factor of 7775 and 7781?

Greatest common factor (GCF) of 7775 and 7781 is 1.

GCF(7775,7781) = 1

We will now calculate the prime factors of 7775 and 7781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7775 and 7781.

How to find the GCF of 7775 and 7781?

We will first find the prime factorization of 7775 and 7781. After we will calculate the factors of 7775 and 7781 and find the biggest common factor number .

Step-1: Prime Factorization of 7775

Prime factors of 7775 are 5, 311. Prime factorization of 7775 in exponential form is:

7775 = 5² × 311¹

Step-2: Prime Factorization of 7781

Prime factors of 7781 are 31, 251. Prime factorization of 7781 in exponential form is:

7781 = 31¹ × 251¹

Step-3: Factors of 7775

List of positive integer factors of 7775 that divides 7775 without a remainder.

1, 5, 25, 311, 1555

Step-4: Factors of 7781

List of positive integer factors of 7781 that divides 7775 without a remainder.

1, 31, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7775 and 7781. The biggest common factor number is the GCF number.
So the greatest common factor 7775 and 7781 is 1.

Also check out the Least Common Multiple of 7775 and 7781