What is the Greatest Common Factor of 77775 and 77791?

Greatest common factor (GCF) of 77775 and 77791 is 1.

GCF(77775,77791) = 1

We will now calculate the prime factors of 77775 and 77791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77775 and 77791.

How to find the GCF of 77775 and 77791?

We will first find the prime factorization of 77775 and 77791. After we will calculate the factors of 77775 and 77791 and find the biggest common factor number .

Step-1: Prime Factorization of 77775

Prime factors of 77775 are 3, 5, 17, 61. Prime factorization of 77775 in exponential form is:

77775 = 3¹ × 5² × 17¹ × 61¹

Step-2: Prime Factorization of 77791

Prime factors of 77791 are 7, 11113. Prime factorization of 77791 in exponential form is:

77791 = 7¹ × 11113¹

Step-3: Factors of 77775

List of positive integer factors of 77775 that divides 77775 without a remainder.

1, 3, 5, 15, 17, 25, 51, 61, 75, 85, 183, 255, 305, 425, 915, 1037, 1275, 1525, 3111, 4575, 5185, 15555, 25925

Step-4: Factors of 77791

List of positive integer factors of 77791 that divides 77775 without a remainder.

1, 7, 11113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77775 and 77791. The biggest common factor number is the GCF number.
So the greatest common factor 77775 and 77791 is 1.

Also check out the Least Common Multiple of 77775 and 77791