What is the Greatest Common Factor of 77800 and 77810?

Greatest common factor (GCF) of 77800 and 77810 is 10.

GCF(77800,77810) = 10

We will now calculate the prime factors of 77800 and 77810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77800 and 77810.

How to find the GCF of 77800 and 77810?

We will first find the prime factorization of 77800 and 77810. After we will calculate the factors of 77800 and 77810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77810

Prime factors of 77810 are 2, 5, 31, 251. Prime factorization of 77810 in exponential form is:

77810 = 2¹ × 5¹ × 31¹ × 251¹

Step-3: Factors of 77800

List of positive integer factors of 77800 that divides 77800 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

Step-4: Factors of 77810

List of positive integer factors of 77810 that divides 77800 without a remainder.

1, 2, 5, 10, 31, 62, 155, 251, 310, 502, 1255, 2510, 7781, 15562, 38905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77800 and 77810. The biggest common factor number is the GCF number.
So the greatest common factor 77800 and 77810 is 10.

Also check out the Least Common Multiple of 77800 and 77810