What is the Greatest Common Factor of 77785 and 77800?

Greatest common factor (GCF) of 77785 and 77800 is 5.

GCF(77785,77800) = 5

We will now calculate the prime factors of 77785 and 77800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77785 and 77800.

How to find the GCF of 77785 and 77800?

We will first find the prime factorization of 77785 and 77800. After we will calculate the factors of 77785 and 77800 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77800

Prime factors of 77800 are 2, 5, 389. Prime factorization of 77800 in exponential form is:

77800 = 2³ × 5² × 389¹

Step-3: Factors of 77785

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

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

Step-4: Factors of 77800

List of positive integer factors of 77800 that divides 77785 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 389, 778, 1556, 1945, 3112, 3890, 7780, 9725, 15560, 19450, 38900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77785 and 77800. The biggest common factor number is the GCF number.
So the greatest common factor 77785 and 77800 is 5.

Also check out the Least Common Multiple of 77785 and 77800