What is the Greatest Common Factor of 77775 and 77785?

Greatest common factor (GCF) of 77775 and 77785 is 5.

GCF(77775,77785) = 5

We will now calculate the prime factors of 77775 and 77785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77775 and 77785.

How to find the GCF of 77775 and 77785?

We will first find the prime factorization of 77775 and 77785. After we will calculate the factors of 77775 and 77785 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 77785

Prime factors of 77785 are 5, 47, 331. Prime factorization of 77785 in exponential form is:

77785 = 5¹ × 47¹ × 331¹

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 77785

List of positive integer factors of 77785 that divides 77775 without a remainder.

1, 5, 47, 235, 331, 1655, 15557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77775 and 77785. The biggest common factor number is the GCF number.
So the greatest common factor 77775 and 77785 is 5.

Also check out the Least Common Multiple of 77775 and 77785