What is the Greatest Common Factor of 77758 and 77775?

Greatest common factor (GCF) of 77758 and 77775 is 17.

GCF(77758,77775) = 17

We will now calculate the prime factors of 77758 and 77775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77758 and 77775.

How to find the GCF of 77758 and 77775?

We will first find the prime factorization of 77758 and 77775. After we will calculate the factors of 77758 and 77775 and find the biggest common factor number .

Step-1: Prime Factorization of 77758

Prime factors of 77758 are 2, 17, 2287. Prime factorization of 77758 in exponential form is:

77758 = 2¹ × 17¹ × 2287¹

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 77758

List of positive integer factors of 77758 that divides 77758 without a remainder.

1, 2, 17, 34, 2287, 4574, 38879

Step-4: Factors of 77775

List of positive integer factors of 77775 that divides 77758 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 77758 and 77775. The biggest common factor number is the GCF number.
So the greatest common factor 77758 and 77775 is 17.

Also check out the Least Common Multiple of 77758 and 77775