What is the Greatest Common Factor of 77757 and 77775?

Greatest common factor (GCF) of 77757 and 77775 is 3.

GCF(77757,77775) = 3

We will now calculate the prime factors of 77757 and 77775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77757 and 77775.

How to find the GCF of 77757 and 77775?

We will first find the prime factorization of 77757 and 77775. After we will calculate the factors of 77757 and 77775 and find the biggest common factor number .

Step-1: Prime Factorization of 77757

Prime factors of 77757 are 3, 25919. Prime factorization of 77757 in exponential form is:

77757 = 3¹ × 25919¹

Step-2: 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-3: Factors of 77757

List of positive integer factors of 77757 that divides 77757 without a remainder.

1, 3, 25919

Step-4: Factors of 77775

List of positive integer factors of 77775 that divides 77757 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77757 and 77775. The biggest common factor number is the GCF number.
So the greatest common factor 77757 and 77775 is 3.

Also check out the Least Common Multiple of 77757 and 77775