What is the Greatest Common Factor of 77755 and 77775?

Greatest common factor (GCF) of 77755 and 77775 is 5.

GCF(77755,77775) = 5

We will now calculate the prime factors of 77755 and 77775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77755 and 77775.

How to find the GCF of 77755 and 77775?

We will first find the prime factorization of 77755 and 77775. After we will calculate the factors of 77755 and 77775 and find the biggest common factor number .

Step-1: Prime Factorization of 77755

Prime factors of 77755 are 5, 15551. Prime factorization of 77755 in exponential form is:

77755 = 5¹ × 15551¹

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 77755

List of positive integer factors of 77755 that divides 77755 without a remainder.

1, 5, 15551

Step-4: Factors of 77775

List of positive integer factors of 77775 that divides 77755 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 77755 and 77775. The biggest common factor number is the GCF number.
So the greatest common factor 77755 and 77775 is 5.

Also check out the Least Common Multiple of 77755 and 77775